Solve 8(2, 5 - 1, 5x) = 33, 5 - 1, 5(7 + 4x) | 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

$$8(2,5-1,5x)=33,5-1,5(7+4x)$$

Solve for x

$x=-0,5$

Steps for Solving Linear Equation

Use the distributive property to multiply $8$ by $2,5-1,5x$.

$$20-12x=33,5-1,5\left(7+4x\right)$$

Use the distributive property to multiply $-1,5$ by $7+4x$.

$$20-12x=33,5-10,5-6x$$

Subtract $10,5$ from $33,5$ to get $23$.

$$20-12x=23-6x$$

Add $6x$ to both sides.

$$20-12x+6x=23$$

Combine $-12x$ and $6x$ to get $-6x$.

$$20-6x=23$$

Subtract $20$ from both sides.

$$-6x=23-20$$

Subtract $20$ from $23$ to get $3$.

$$-6x=3$$

Divide both sides by $-6$.

$$x=\frac{3}{-6}$$

Reduce the fraction $\frac{3}{-6}$ to lowest terms by extracting and canceling out $3$.

$$x=-\frac{1}{2}$$