8x+4(2+x)=3(x-6)+10x

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Solution for 8x+4(2+x)=3(x-6)+10x equation:


Simplifying
8x + 4(2 + x) = 3(x + -6) + 10x
8x + (2 * 4 + x * 4) = 3(x + -6) + 10x
8x + (8 + 4x) = 3(x + -6) + 10x

Reorder the terms:
8 + 8x + 4x = 3(x + -6) + 10x

Combine like terms: 8x + 4x = 12x
8 + 12x = 3(x + -6) + 10x

Reorder the terms:
8 + 12x = 3(-6 + x) + 10x
8 + 12x = (-6 * 3 + x * 3) + 10x
8 + 12x = (-18 + 3x) + 10x

Combine like terms: 3x + 10x = 13x
8 + 12x = -18 + 13x

Solving
8 + 12x = -18 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
8 + 12x + -13x = -18 + 13x + -13x

Combine like terms: 12x + -13x = -1x
8 + -1x = -18 + 13x + -13x

Combine like terms: 13x + -13x = 0
8 + -1x = -18 + 0
8 + -1x = -18

Add '-8' to each side of the equation.
8 + -8 + -1x = -18 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -18 + -8
-1x = -18 + -8

Combine like terms: -18 + -8 = -26
-1x = -26

Divide each side by '-1'.
x = 26

Simplifying
x = 26

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