4+4x-6=7(x+2)-5x

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Solution for 4+4x-6=7(x+2)-5x equation:


Simplifying
4 + 4x + -6 = 7(x + 2) + -5x

Reorder the terms:
4 + -6 + 4x = 7(x + 2) + -5x

Combine like terms: 4 + -6 = -2
-2 + 4x = 7(x + 2) + -5x

Reorder the terms:
-2 + 4x = 7(2 + x) + -5x
-2 + 4x = (2 * 7 + x * 7) + -5x
-2 + 4x = (14 + 7x) + -5x

Combine like terms: 7x + -5x = 2x
-2 + 4x = 14 + 2x

Solving
-2 + 4x = 14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + 4x + -2x = 14 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-2 + 2x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 2x = 14 + 0
-2 + 2x = 14

Add '2' to each side of the equation.
-2 + 2 + 2x = 14 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 14 + 2
2x = 14 + 2

Combine like terms: 14 + 2 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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