-4(x+3)+6=6(x+2)+6

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Solution for -4(x+3)+6=6(x+2)+6 equation:


Simplifying
-4(x + 3) + 6 = 6(x + 2) + 6

Reorder the terms:
-4(3 + x) + 6 = 6(x + 2) + 6
(3 * -4 + x * -4) + 6 = 6(x + 2) + 6
(-12 + -4x) + 6 = 6(x + 2) + 6

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

Combine like terms: -12 + 6 = -6
-6 + -4x = 6(x + 2) + 6

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

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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + -10x = 18 + 6

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

Combine like terms: 18 + 6 = 24
-10x = 24

Divide each side by '-10'.
x = -2.4

Simplifying
x = -2.4

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