Solve 4(x-1)-5(3-x)=14x-2(5x-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

$$4(x-1)-5(3-x)=14x-2(5x-3)$$

Solve for x

$x=5$

Steps for Solving Linear Equation

Use the distributive property to multiply $4$ by $x-1$.

$$4x-4-5\left(3-x\right)=14x-2\left(5x-3\right)$$

Use the distributive property to multiply $-5$ by $3-x$.

$$4x-4-15+5x=14x-2\left(5x-3\right)$$

Subtract $15$ from $-4$ to get $-19$.

$$4x-19+5x=14x-2\left(5x-3\right)$$

Combine $4x$ and $5x$ to get $9x$.

$$9x-19=14x-2\left(5x-3\right)$$

Use the distributive property to multiply $-2$ by $5x-3$.

$$9x-19=14x-10x+6$$

Combine $14x$ and $-10x$ to get $4x$.

$$9x-19=4x+6$$

Subtract $4x$ from both sides.

$$9x-19-4x=6$$

Combine $9x$ and $-4x$ to get $5x$.

$$5x-19=6$$

Add $19$ to both sides.

$$5x=6+19$$

Add $6$ and $19$ to get $25$.

$$5x=25$$

Divide both sides by $5$.

$$x=\frac{25}{5}$$

Divide $25$ by $5$ to get $5$.

$$x=5$$