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

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

Solve for x

$x=2$

Steps for Solving Linear Equation

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

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

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

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

Use the distributive property to multiply $4$ by $5-2x$.

$$x+2=20-8x$$

Add $8x$ to both sides.

$$x+2+8x=20$$

Combine $x$ and $8x$ to get $9x$.

$$9x+2=20$$

Subtract $2$ from both sides.

$$9x=20-2$$

Subtract $2$ from $20$ to get $18$.

$$9x=18$$

Divide both sides by $9$.

$$x=\frac{18}{9}$$

Divide $18$ by $9$ to get $2$.

$$x=2$$