Solve ) 0.9(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

$$0.9 ( 5 x - 4 ) = 0.5 x + 0.8$$

Solve for x

$x=1.1$

Steps for Solving Linear Equation

Use the distributive property to multiply $0.9$ by $5x-4$.

$$4.5x-3.6=0.5x+0.8$$

Subtract $0.5x$ from both sides.

$$4.5x-3.6-0.5x=0.8$$

Combine $4.5x$ and $-0.5x$ to get $4x$.

$$4x-3.6=0.8$$

Add $3.6$ to both sides.

$$4x=0.8+3.6$$

Add $0.8$ and $3.6$ to get $4.4$.

$$4x=4.4$$

Divide both sides by $4$.

$$x=\frac{4.4}{4}$$

Expand $\frac{4.4}{4}$ by multiplying both numerator and the denominator by $10$.

$$x=\frac{44}{40}$$

Reduce the fraction $\frac{44}{40}$ to lowest terms by extracting and canceling out $4$.

$$x=\frac{11}{10}$$