2(3(x-4)-7)+1=8x-11

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Solution for 2(3(x-4)-7)+1=8x-11 equation:


Simplifying
2(3(x + -4) + -7) + 1 = 8x + -11

Reorder the terms:
2(3(-4 + x) + -7) + 1 = 8x + -11
2((-4 * 3 + x * 3) + -7) + 1 = 8x + -11
2((-12 + 3x) + -7) + 1 = 8x + -11

Reorder the terms:
2(-12 + -7 + 3x) + 1 = 8x + -11

Combine like terms: -12 + -7 = -19
2(-19 + 3x) + 1 = 8x + -11
(-19 * 2 + 3x * 2) + 1 = 8x + -11
(-38 + 6x) + 1 = 8x + -11

Reorder the terms:
-38 + 1 + 6x = 8x + -11

Combine like terms: -38 + 1 = -37
-37 + 6x = 8x + -11

Reorder the terms:
-37 + 6x = -11 + 8x

Solving
-37 + 6x = -11 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-37 + 6x + -8x = -11 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-37 + -2x = -11 + 8x + -8x

Combine like terms: 8x + -8x = 0
-37 + -2x = -11 + 0
-37 + -2x = -11

Add '37' to each side of the equation.
-37 + 37 + -2x = -11 + 37

Combine like terms: -37 + 37 = 0
0 + -2x = -11 + 37
-2x = -11 + 37

Combine like terms: -11 + 37 = 26
-2x = 26

Divide each side by '-2'.
x = -13

Simplifying
x = -13

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