4(x+8)+12=8(x+8)+10

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Solution for 4(x+8)+12=8(x+8)+10 equation: 


Simplifying
4(x + 8) + 12 = 8(x + 8) + 10

Reorder the terms:
4(8 + x) + 12 = 8(x + 8) + 10
(8 * 4 + x * 4) + 12 = 8(x + 8) + 10
(32 + 4x) + 12 = 8(x + 8) + 10

Reorder the terms:
32 + 12 + 4x = 8(x + 8) + 10

Combine like terms: 32 + 12 = 44
44 + 4x = 8(x + 8) + 10

Reorder the terms:
44 + 4x = 8(8 + x) + 10
44 + 4x = (8 * 8 + x * 8) + 10
44 + 4x = (64 + 8x) + 10

Reorder the terms:
44 + 4x = 64 + 10 + 8x

Combine like terms: 64 + 10 = 74
44 + 4x = 74 + 8x

Solving
44 + 4x = 74 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
44 + 4x + -8x = 74 + 8x + -8x

Combine like terms: 4x + -8x = -4x
44 + -4x = 74 + 8x + -8x

Combine like terms: 8x + -8x = 0
44 + -4x = 74 + 0
44 + -4x = 74

Add '-44' to each side of the equation.
44 + -44 + -4x = 74 + -44

Combine like terms: 44 + -44 = 0
0 + -4x = 74 + -44
-4x = 74 + -44

Combine like terms: 74 + -44 = 30
-4x = 30

Divide each side by '-4'.
x = -7.5

Simplifying
x = -7.5

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