Solve 0.18(5x-4)=0.5x+0.8 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$0.18(5x-4)=0.5x+0.8$$

Solve for x

$x=3.8$

Steps for Solving Linear Equation

Use the distributive property to multiply $0.18$ by $5x-4$.

$$0.9x-0.72=0.5x+0.8$$

Subtract $0.5x$ from both sides.

$$0.9x-0.72-0.5x=0.8$$

Combine $0.9x$ and $-0.5x$ to get $0.4x$.

$$0.4x-0.72=0.8$$

Add $0.72$ to both sides.

$$0.4x=0.8+0.72$$

Add $0.8$ and $0.72$ to get $1.52$.

$$0.4x=1.52$$

Divide both sides by $0.4$.

$$x=\frac{1.52}{0.4}$$

Expand $\frac{1.52}{0.4}$ by multiplying both numerator and the denominator by $100$.

$$x=\frac{152}{40}$$

Reduce the fraction $\frac{152}{40}$ to lowest terms by extracting and canceling out $8$.

$$x=\frac{19}{5}$$