Solve ( vii ) 4 - 4(x - 5) = 2(2 - x) - 6 ( vi Multiple Choice Questions (MCQ | 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

$$4 - 4 ( x - 5 ) = 2 ( 2 - x ) - 6$$

Solve for x

$x=13$

Steps for Solving Linear Equation

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

$$4-4x+20=2\left(2-x\right)-6$$

Add $4$ and $20$ to get $24$.

$$24-4x=2\left(2-x\right)-6$$

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

$$24-4x=4-2x-6$$

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

$$24-4x=-2-2x$$

Add $2x$ to both sides.

$$24-4x+2x=-2$$

Combine $-4x$ and $2x$ to get $-2x$.

$$24-2x=-2$$

Subtract $24$ from both sides.

$$-2x=-2-24$$

Subtract $24$ from $-2$ to get $-26$.

$$-2x=-26$$

Divide both sides by $-2$.

$$x=\frac{-26}{-2}$$

Divide $-26$ by $-2$ to get $13$.

$$x=13$$