5x-4=180-(8x-11)

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Solution for 5x-4=180-(8x-11) equation:


Simplifying
5x + -4 = 180 + -1(8x + -11)

Reorder the terms:
-4 + 5x = 180 + -1(8x + -11)

Reorder the terms:
-4 + 5x = 180 + -1(-11 + 8x)
-4 + 5x = 180 + (-11 * -1 + 8x * -1)
-4 + 5x = 180 + (11 + -8x)

Combine like terms: 180 + 11 = 191
-4 + 5x = 191 + -8x

Solving
-4 + 5x = 191 + -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.
-4 + 5x + 8x = 191 + -8x + 8x

Combine like terms: 5x + 8x = 13x
-4 + 13x = 191 + -8x + 8x

Combine like terms: -8x + 8x = 0
-4 + 13x = 191 + 0
-4 + 13x = 191

Add '4' to each side of the equation.
-4 + 4 + 13x = 191 + 4

Combine like terms: -4 + 4 = 0
0 + 13x = 191 + 4
13x = 191 + 4

Combine like terms: 191 + 4 = 195
13x = 195

Divide each side by '13'.
x = 15

Simplifying
x = 15

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