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

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


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

Reorder the terms:
-4(6 + x) + 6 = 6(x + 2) + 7
(6 * -4 + x * -4) + 6 = 6(x + 2) + 7
(-24 + -4x) + 6 = 6(x + 2) + 7

Reorder the terms:
-24 + 6 + -4x = 6(x + 2) + 7

Combine like terms: -24 + 6 = -18
-18 + -4x = 6(x + 2) + 7

Reorder the terms:
-18 + -4x = 6(2 + x) + 7
-18 + -4x = (2 * 6 + x * 6) + 7
-18 + -4x = (12 + 6x) + 7

Reorder the terms:
-18 + -4x = 12 + 7 + 6x

Combine like terms: 12 + 7 = 19
-18 + -4x = 19 + 6x

Solving
-18 + -4x = 19 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-18 + -4x + -6x = 19 + 6x + -6x

Combine like terms: -4x + -6x = -10x
-18 + -10x = 19 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + -10x = 19 + 0
-18 + -10x = 19

Add '18' to each side of the equation.
-18 + 18 + -10x = 19 + 18

Combine like terms: -18 + 18 = 0
0 + -10x = 19 + 18
-10x = 19 + 18

Combine like terms: 19 + 18 = 37
-10x = 37

Divide each side by '-10'.
x = -3.7

Simplifying
x = -3.7

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