5-(x+8)+6x=4(x+2)

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Solution for 5-(x+8)+6x=4(x+2) equation:


Simplifying
5 + -1(x + 8) + 6x = 4(x + 2)

Reorder the terms:
5 + -1(8 + x) + 6x = 4(x + 2)
5 + (8 * -1 + x * -1) + 6x = 4(x + 2)
5 + (-8 + -1x) + 6x = 4(x + 2)

Combine like terms: 5 + -8 = -3
-3 + -1x + 6x = 4(x + 2)

Combine like terms: -1x + 6x = 5x
-3 + 5x = 4(x + 2)

Reorder the terms:
-3 + 5x = 4(2 + x)
-3 + 5x = (2 * 4 + x * 4)
-3 + 5x = (8 + 4x)

Solving
-3 + 5x = 8 + 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.
-3 + 5x + -4x = 8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-3 + 1x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 1x = 8 + 0
-3 + 1x = 8

Add '3' to each side of the equation.
-3 + 3 + 1x = 8 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 8 + 3
1x = 8 + 3

Combine like terms: 8 + 3 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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