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

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

Solve for x

$x = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$

Steps for Solving Linear Equation

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

$$4x-5=10x-25$$

Subtract $10x$ from both sides.

$$4x-5-10x=-25$$

Combine $4x$ and $-10x$ to get $-6x$.

$$-6x-5=-25$$

Add $5$ to both sides.

$$-6x=-25+5$$

Add $-25$ and $5$ to get $-20$.

$$-6x=-20$$

Divide both sides by $-6$.

$$x=\frac{-20}{-6}$$

Reduce the fraction $\frac{-20}{-6}$ to lowest terms by extracting and canceling out $-2$.

$$x=\frac{10}{3}$$