Solve 15(x - 1) + 4(x + 3) = 2(7 + x) | 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

$$15(x-1)+4(x+3)=2(7+x)$$

Solve for x

$x=1$

Steps for Solving Linear Equation

Use the distributive property to multiply $15$ by $x-1$.

$$15x-15+4\left(x+3\right)=2\left(7+x\right)$$

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

$$15x-15+4x+12=2\left(7+x\right)$$

Combine $15x$ and $4x$ to get $19x$.

$$19x-15+12=2\left(7+x\right)$$

Add $-15$ and $12$ to get $-3$.

$$19x-3=2\left(7+x\right)$$

Use the distributive property to multiply $2$ by $7+x$.

$$19x-3=14+2x$$

Subtract $2x$ from both sides.

$$19x-3-2x=14$$

Combine $19x$ and $-2x$ to get $17x$.

$$17x-3=14$$

Add $3$ to both sides.

$$17x=14+3$$

Add $14$ and $3$ to get $17$.

$$17x=17$$

Divide both sides by $17$.

$$x=\frac{17}{17}$$

Divide $17$ by $17$ to get $1$.

$$x=1$$