Solve (3(4x - 7) + 5)/2 = 22 | 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

$$\frac{3(4x-7)+5}{2}=22$$

Solve for x

$x=5$

Steps for Solving Linear Equation

Multiply both sides by $2$.

$$3\left(4x-7\right)+5=22\times 2$$

Use the distributive property to multiply $3$ by $4x-7$.

$$12x-21+5=22\times 2$$

Add $-21$ and $5$ to get $-16$.

$$12x-16=22\times 2$$

Multiply $22$ and $2$ to get $44$.

$$12x-16=44$$

Add $16$ to both sides.

$$12x=44+16$$

Add $44$ and $16$ to get $60$.

$$12x=60$$

Divide both sides by $12$.

$$x=\frac{60}{12}$$

Divide $60$ by $12$ to get $5$.

$$x=5$$