-4(x+5)+2=6(x+6)-15

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Solution for -4(x+5)+2=6(x+6)-15 equation: 


Simplifying
-4(x + 5) + 2 = 6(x + 6) + -15

Reorder the terms:
-4(5 + x) + 2 = 6(x + 6) + -15
(5 * -4 + x * -4) + 2 = 6(x + 6) + -15
(-20 + -4x) + 2 = 6(x + 6) + -15

Reorder the terms:
-20 + 2 + -4x = 6(x + 6) + -15

Combine like terms: -20 + 2 = -18
-18 + -4x = 6(x + 6) + -15

Reorder the terms:
-18 + -4x = 6(6 + x) + -15
-18 + -4x = (6 * 6 + x * 6) + -15
-18 + -4x = (36 + 6x) + -15

Reorder the terms:
-18 + -4x = 36 + -15 + 6x

Combine like terms: 36 + -15 = 21
-18 + -4x = 21 + 6x

Solving
-18 + -4x = 21 + 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 = 21 + 6x + -6x

Combine like terms: -4x + -6x = -10x
-18 + -10x = 21 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + -10x = 21 + 0
-18 + -10x = 21

Add '18' to each side of the equation.
-18 + 18 + -10x = 21 + 18

Combine like terms: -18 + 18 = 0
0 + -10x = 21 + 18
-10x = 21 + 18

Combine like terms: 21 + 18 = 39
-10x = 39

Divide each side by '-10'.
x = -3.9

Simplifying
x = -3.9

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