Solve 2(3x + 1) - 3(x + 2) = 5(x - 1) - 3 | 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

$$2(3x+1)-3(x+2)=5(x-1)-3$$

Solve for x

$x=2$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $3x+1$.

$$6x+2-3\left(x+2\right)=5\left(x-1\right)-3$$

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

$$6x+2-3x-6=5\left(x-1\right)-3$$

Combine $6x$ and $-3x$ to get $3x$.

$$3x+2-6=5\left(x-1\right)-3$$

Subtract $6$ from $2$ to get $-4$.

$$3x-4=5\left(x-1\right)-3$$

Use the distributive property to multiply $5$ by $x-1$.

$$3x-4=5x-5-3$$

Subtract $3$ from $-5$ to get $-8$.

$$3x-4=5x-8$$

Subtract $5x$ from both sides.

$$3x-4-5x=-8$$

Combine $3x$ and $-5x$ to get $-2x$.

$$-2x-4=-8$$

Add $4$ to both sides.

$$-2x=-8+4$$

Add $-8$ and $4$ to get $-4$.

$$-2x=-4$$

Divide both sides by $-2$.

$$x=\frac{-4}{-2}$$

Divide $-4$ by $-2$ to get $2$.

$$x=2$$