Solve 3(x - 7) + 5(x - 4) = 15 | 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

$$3(x-7)+5(x-4)=15$$

Solve for x

$x=7$

Steps for Solving Linear Equation

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

$$3x-21+5\left(x-4\right)=15$$

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

$$3x-21+5x-20=15$$

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

$$8x-21-20=15$$

Subtract $20$ from $-21$ to get $-41$.

$$8x-41=15$$

Add $41$ to both sides.

$$8x=15+41$$

Add $15$ and $41$ to get $56$.

$$8x=56$$

Divide both sides by $8$.

$$x=\frac{56}{8}$$

Divide $56$ by $8$ to get $7$.

$$x=7$$