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

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


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

Reorder the terms:
-4(6 + x) + 6 = 6(x + 5) + 4
(6 * -4 + x * -4) + 6 = 6(x + 5) + 4
(-24 + -4x) + 6 = 6(x + 5) + 4

Reorder the terms:
-24 + 6 + -4x = 6(x + 5) + 4

Combine like terms: -24 + 6 = -18
-18 + -4x = 6(x + 5) + 4

Reorder the terms:
-18 + -4x = 6(5 + x) + 4
-18 + -4x = (5 * 6 + x * 6) + 4
-18 + -4x = (30 + 6x) + 4

Reorder the terms:
-18 + -4x = 30 + 4 + 6x

Combine like terms: 30 + 4 = 34
-18 + -4x = 34 + 6x

Solving
-18 + -4x = 34 + 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 = 34 + 6x + -6x

Combine like terms: -4x + -6x = -10x
-18 + -10x = 34 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + -10x = 34 + 0
-18 + -10x = 34

Add '18' to each side of the equation.
-18 + 18 + -10x = 34 + 18

Combine like terms: -18 + 18 = 0
0 + -10x = 34 + 18
-10x = 34 + 18

Combine like terms: 34 + 18 = 52
-10x = 52

Divide each side by '-10'.
x = -5.2

Simplifying
x = -5.2

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