Solving Equations (Decimal Busting)

Solving equations with decimals involves using inverse operations to isolate the variable. One helpful strategy is to multiply both sides of the equation by a power of 10 to eliminate decimals, making the equation easier to solve using whole numbers. For multi-step equations, combine like terms and simplify before isolating the variable. Remember to perform the same operation on both sides of the equation to keep it balanced.

Practice Problems

Solve for x

\(\textbf{1)}\) \(0.45x+3=3.9\)

\(\textbf{2)}\) \(0.5x+18=22.5\)

\(\textbf{3)}\) \(43.5+0.2x=51.1\)

\(\textbf{4)}\) \(15.35+2x=16.55\)

\(\textbf{5)}\) \(8+0.02x=10\)

\(\textbf{6)}\) \(-3.5x=7\)

\(\textbf{7)}\) \(0.8x+2.4=8.8\)

\(\textbf{8)}\) \(0.25x-1.5=3.5\)

\(\textbf{9)}\) \(1.2x+0.6=9\)

\(\textbf{10)}\) \(0.75x-2.25=6.75\)

\(\textbf{11)}\) \(0.6x+4.2=1.8\)

\(\textbf{12)}\) \(-0.4x+1.6=5.2\)

\(\textbf{13)}\) \(0.3x+0.5x=6.4\)

\(\textbf{14)}\) \(1.5x-0.7x+2.4=8.8\)

\(\textbf{15)}\) \(0.7x+1.5=0.2x+5.5\)

\(\textbf{16)}\) \(1.25x-0.5=0.25x+7.5\)

\(\textbf{17)}\) \(0.4(x+3)=4.8\)

\(\textbf{18)}\) \(0.5(x-4)+1.5=5\)

\(\textbf{19)}\) \(0.25(x+8)+0.5x=8\)

\(\textbf{20)}\) \(0.3(2x+5)-0.2(x-5)=5.7\)

See Related Pages

\(\bullet\text{ Equation Calculator (Symbolab.com)}\)
\(\,\,\,\,\,\,\,\,\)

\(\bullet\text{ Solving Equations by Addition and Subtraction}\)
\(\,\,\,\,\,\,\,\,x+3=4…\)

\(\bullet\text{ Solving Equations by Multiplication and Division}\)
\(\,\,\,\,\,\,\,\,8x=48…\)

\(\bullet\text{ Solving Multi-step Equations}\)
\(\,\,\,\,\,\,\,\,3x+2=14…\)

\(\bullet\text{ Solving Equations with Variables on Both Sides}\)
\(\,\,\,\,\,\,\,\,3x+5=7x-3…\)

\(\bullet\text{ Solving Equations with Decimals}\)
\(\,\,\,\,\,\,\,\,43.5+0.2x=51.1…\)

\(\bullet\text{ Solving Equations with Fractions}\)
\(\,\,\,\,\,\,\,\,\frac{2}{5}x+\frac{2}{3}=\frac{8}{3}…\)