Solve 0.16(5x-2)=0.4(x+1 | 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

$$0.16(5x-2)=0.4(x+1$$

Solve for x

$x=1.8$

Steps for Solving Linear Equation

Use the distributive property to multiply $0.16$ by $5x-2$.

$$0.8x-0.32=0.4\left(x+1\right)$$

Use the distributive property to multiply $0.4$ by $x+1$.

$$0.8x-0.32=0.4x+0.4$$

Subtract $0.4x$ from both sides.

$$0.8x-0.32-0.4x=0.4$$

Combine $0.8x$ and $-0.4x$ to get $0.4x$.

$$0.4x-0.32=0.4$$

Add $0.32$ to both sides.

$$0.4x=0.4+0.32$$

Add $0.4$ and $0.32$ to get $0.72$.

$$0.4x=0.72$$

Divide both sides by $0.4$.

$$x=\frac{0.72}{0.4}$$

Expand $\frac{0.72}{0.4}$ by multiplying both numerator and the denominator by $100$.

$$x=\frac{72}{40}$$

Reduce the fraction $\frac{72}{40}$ to lowest terms by extracting and canceling out $8$.

$$x=\frac{9}{5}$$