24+8-4x+1x=12+7x-20

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Solution for 24+8-4x+1x=12+7x-20 equation:


Simplifying
24 + 8 + -4x + 1x = 12 + 7x + -20

Combine like terms: 24 + 8 = 32
32 + -4x + 1x = 12 + 7x + -20

Combine like terms: -4x + 1x = -3x
32 + -3x = 12 + 7x + -20

Reorder the terms:
32 + -3x = 12 + -20 + 7x

Combine like terms: 12 + -20 = -8
32 + -3x = -8 + 7x

Solving
32 + -3x = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
32 + -3x + -7x = -8 + 7x + -7x

Combine like terms: -3x + -7x = -10x
32 + -10x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
32 + -10x = -8 + 0
32 + -10x = -8

Add '-32' to each side of the equation.
32 + -32 + -10x = -8 + -32

Combine like terms: 32 + -32 = 0
0 + -10x = -8 + -32
-10x = -8 + -32

Combine like terms: -8 + -32 = -40
-10x = -40

Divide each side by '-10'.
x = 4

Simplifying
x = 4

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