24-(2x-8)=4(x-3)+2

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Solution for 24-(2x-8)=4(x-3)+2 equation: 


Simplifying
24 + -1(2x + -8) = 4(x + -3) + 2

Reorder the terms:
24 + -1(-8 + 2x) = 4(x + -3) + 2
24 + (-8 * -1 + 2x * -1) = 4(x + -3) + 2
24 + (8 + -2x) = 4(x + -3) + 2

Combine like terms: 24 + 8 = 32
32 + -2x = 4(x + -3) + 2

Reorder the terms:
32 + -2x = 4(-3 + x) + 2
32 + -2x = (-3 * 4 + x * 4) + 2
32 + -2x = (-12 + 4x) + 2

Reorder the terms:
32 + -2x = -12 + 2 + 4x

Combine like terms: -12 + 2 = -10
32 + -2x = -10 + 4x

Solving
32 + -2x = -10 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
32 + -2x + -4x = -10 + 4x + -4x

Combine like terms: -2x + -4x = -6x
32 + -6x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
32 + -6x = -10 + 0
32 + -6x = -10

Add '-32' to each side of the equation.
32 + -32 + -6x = -10 + -32

Combine like terms: 32 + -32 = 0
0 + -6x = -10 + -32
-6x = -10 + -32

Combine like terms: -10 + -32 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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