-11x+2(x-5)+7x=6x-58

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Solution for -11x+2(x-5)+7x=6x-58 equation:


Simplifying
-11x + 2(x + -5) + 7x = 6x + -58

Reorder the terms:
-11x + 2(-5 + x) + 7x = 6x + -58
-11x + (-5 * 2 + x * 2) + 7x = 6x + -58
-11x + (-10 + 2x) + 7x = 6x + -58

Reorder the terms:
-10 + -11x + 2x + 7x = 6x + -58

Combine like terms: -11x + 2x = -9x
-10 + -9x + 7x = 6x + -58

Combine like terms: -9x + 7x = -2x
-10 + -2x = 6x + -58

Reorder the terms:
-10 + -2x = -58 + 6x

Solving
-10 + -2x = -58 + 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.
-10 + -2x + -6x = -58 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-10 + -8x = -58 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + -8x = -58 + 0
-10 + -8x = -58

Add '10' to each side of the equation.
-10 + 10 + -8x = -58 + 10

Combine like terms: -10 + 10 = 0
0 + -8x = -58 + 10
-8x = -58 + 10

Combine like terms: -58 + 10 = -48
-8x = -48

Divide each side by '-8'.
x = 6

Simplifying
x = 6

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