Solve 2(2x - 5) = 3(x - 1) - 4 | 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

$$2(2x-5)=3(x-1)-4$$

Solve for x

$x=3$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $2x-5$.

$$4x-10=3\left(x-1\right)-4$$

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

$$4x-10=3x-3-4$$

Subtract $4$ from $-3$ to get $-7$.

$$4x-10=3x-7$$

Subtract $3x$ from both sides.

$$4x-10-3x=-7$$

Combine $4x$ and $-3x$ to get $x$.

$$x-10=-7$$

Add $10$ to both sides.

$$x=-7+10$$

Add $-7$ and $10$ to get $3$.

$$x=3$$