Solve - 3(x - 2) - 5(3x - 2) + 74 = 0 | 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

$$-3(x-2)-5(3x-2)+74=0$$

Solve for x

$x=5$

Steps for Solving Linear Equation

Use the distributive property to multiply $-3$ by $x-2$.

$$-3x+6-5\left(3x-2\right)+74=0$$

Use the distributive property to multiply $-5$ by $3x-2$.

$$-3x+6-15x+10+74=0$$

Combine $-3x$ and $-15x$ to get $-18x$.

$$-18x+6+10+74=0$$

Add $6$ and $10$ to get $16$.

$$-18x+16+74=0$$

Add $16$ and $74$ to get $90$.

$$-18x+90=0$$

Subtract $90$ from both sides. Anything subtracted from zero gives its negation.

$$-18x=-90$$

Divide both sides by $-18$.

$$x=\frac{-90}{-18}$$

Divide $-90$ by $-18$ to get $5$.

$$x=5$$