6(x-8)+11=-11-(-7x+5)

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Solution for 6(x-8)+11=-11-(-7x+5) equation:


Simplifying
6(x + -8) + 11 = -11 + -1(-7x + 5)

Reorder the terms:
6(-8 + x) + 11 = -11 + -1(-7x + 5)
(-8 * 6 + x * 6) + 11 = -11 + -1(-7x + 5)
(-48 + 6x) + 11 = -11 + -1(-7x + 5)

Reorder the terms:
-48 + 11 + 6x = -11 + -1(-7x + 5)

Combine like terms: -48 + 11 = -37
-37 + 6x = -11 + -1(-7x + 5)

Reorder the terms:
-37 + 6x = -11 + -1(5 + -7x)
-37 + 6x = -11 + (5 * -1 + -7x * -1)
-37 + 6x = -11 + (-5 + 7x)

Combine like terms: -11 + -5 = -16
-37 + 6x = -16 + 7x

Solving
-37 + 6x = -16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-37 + 6x + -7x = -16 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-37 + -1x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
-37 + -1x = -16 + 0
-37 + -1x = -16

Add '37' to each side of the equation.
-37 + 37 + -1x = -16 + 37

Combine like terms: -37 + 37 = 0
0 + -1x = -16 + 37
-1x = -16 + 37

Combine like terms: -16 + 37 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21

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