Solve 3(x - 1) + 8(x - 3) = 6x + 7 - 5x - ス | 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

$$3 ( x - 1 ) + 8 ( x - 3 ) = 6 x + 7 - 5 x$$

Solve for x

$x = \frac{17}{5} = 3\frac{2}{5} = 3.4$

Steps for Solving Linear Equation

Use the distributive property to multiply $3$ by $x-1$.

$$3x-3+8\left(x-3\right)=6x+7-5x$$

Use the distributive property to multiply $8$ by $x-3$.

$$3x-3+8x-24=6x+7-5x$$

Combine $3x$ and $8x$ to get $11x$.

$$11x-3-24=6x+7-5x$$

Subtract $24$ from $-3$ to get $-27$.

$$11x-27=6x+7-5x$$

Combine $6x$ and $-5x$ to get $x$.

$$11x-27=x+7$$

Subtract $x$ from both sides.

$$11x-27-x=7$$

Combine $11x$ and $-x$ to get $10x$.

$$10x-27=7$$

Add $27$ to both sides.

$$10x=7+27$$

Add $7$ and $27$ to get $34$.

$$10x=34$$

Divide both sides by $10$.

$$x=\frac{34}{10}$$

Reduce the fraction $\frac{34}{10}$ to lowest terms by extracting and canceling out $2$.

$$x=\frac{17}{5}$$