6(x+5)+5x=2(x-4)+38

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Solution for 6(x+5)+5x=2(x-4)+38 equation:


Simplifying
6(x + 5) + 5x = 2(x + -4) + 38

Reorder the terms:
6(5 + x) + 5x = 2(x + -4) + 38
(5 * 6 + x * 6) + 5x = 2(x + -4) + 38
(30 + 6x) + 5x = 2(x + -4) + 38

Combine like terms: 6x + 5x = 11x
30 + 11x = 2(x + -4) + 38

Reorder the terms:
30 + 11x = 2(-4 + x) + 38
30 + 11x = (-4 * 2 + x * 2) + 38
30 + 11x = (-8 + 2x) + 38

Reorder the terms:
30 + 11x = -8 + 38 + 2x

Combine like terms: -8 + 38 = 30
30 + 11x = 30 + 2x

Add '-30' to each side of the equation.
30 + -30 + 11x = 30 + -30 + 2x

Combine like terms: 30 + -30 = 0
0 + 11x = 30 + -30 + 2x
11x = 30 + -30 + 2x

Combine like terms: 30 + -30 = 0
11x = 0 + 2x
11x = 2x

Solving
11x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11x + -2x = 2x + -2x

Combine like terms: 11x + -2x = 9x
9x = 2x + -2x

Combine like terms: 2x + -2x = 0
9x = 0

Divide each side by '9'.
x = 0

Simplifying
x = 0

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