4(x-6)+4=6(x+3)-10

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Solution for 4(x-6)+4=6(x+3)-10 equation:


Simplifying
4(x + -6) + 4 = 6(x + 3) + -10

Reorder the terms:
4(-6 + x) + 4 = 6(x + 3) + -10
(-6 * 4 + x * 4) + 4 = 6(x + 3) + -10
(-24 + 4x) + 4 = 6(x + 3) + -10

Reorder the terms:
-24 + 4 + 4x = 6(x + 3) + -10

Combine like terms: -24 + 4 = -20
-20 + 4x = 6(x + 3) + -10

Reorder the terms:
-20 + 4x = 6(3 + x) + -10
-20 + 4x = (3 * 6 + x * 6) + -10
-20 + 4x = (18 + 6x) + -10

Reorder the terms:
-20 + 4x = 18 + -10 + 6x

Combine like terms: 18 + -10 = 8
-20 + 4x = 8 + 6x

Solving
-20 + 4x = 8 + 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.
-20 + 4x + -6x = 8 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-20 + -2x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + -2x = 8 + 0
-20 + -2x = 8

Add '20' to each side of the equation.
-20 + 20 + -2x = 8 + 20

Combine like terms: -20 + 20 = 0
0 + -2x = 8 + 20
-2x = 8 + 20

Combine like terms: 8 + 20 = 28
-2x = 28

Divide each side by '-2'.
x = -14

Simplifying
x = -14

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