How to solve 4(2x-9)-3(x+5)=7

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 4(2x-9)-3(x+5)=7 | Equatix

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Question

$$4(2x-9)-3(x+5)=7$$

Solve for x

$x = \frac{58}{5} = 11\frac{3}{5} = 11.6$

Steps for Solving Linear Equation

Use the distributive property to multiply $4$ by $2x-9$.

$$8x-36-3\left(x+5\right)=7$$

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

$$8x-36-3x-15=7$$

Combine $8x$ and $-3x$ to get $5x$.

$$5x-36-15=7$$

Subtract $15$ from $-36$ to get $-51$.

$$5x-51=7$$

Add $51$ to both sides.

$$5x=7+51$$

Add $7$ and $51$ to get $58$.

$$5x=58$$

Divide both sides by $5$.

$$x=\frac{58}{5}$$

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Solve for x

Steps for Solving Linear Equation