8x-(x-4)-10=12+(3x+4)

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Solution for 8x-(x-4)-10=12+(3x+4) equation:


Simplifying
8x + -1(x + -4) + -10 = 12 + (3x + 4)

Reorder the terms:
8x + -1(-4 + x) + -10 = 12 + (3x + 4)
8x + (-4 * -1 + x * -1) + -10 = 12 + (3x + 4)
8x + (4 + -1x) + -10 = 12 + (3x + 4)

Reorder the terms:
4 + -10 + 8x + -1x = 12 + (3x + 4)

Combine like terms: 4 + -10 = -6
-6 + 8x + -1x = 12 + (3x + 4)

Combine like terms: 8x + -1x = 7x
-6 + 7x = 12 + (3x + 4)

Reorder the terms:
-6 + 7x = 12 + (4 + 3x)

Remove parenthesis around (4 + 3x)
-6 + 7x = 12 + 4 + 3x

Combine like terms: 12 + 4 = 16
-6 + 7x = 16 + 3x

Solving
-6 + 7x = 16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 7x + -3x = 16 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-6 + 4x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 4x = 16 + 0
-6 + 4x = 16

Add '6' to each side of the equation.
-6 + 6 + 4x = 16 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 16 + 6
4x = 16 + 6

Combine like terms: 16 + 6 = 22
4x = 22

Divide each side by '4'.
x = 5.5

Simplifying
x = 5.5

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