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

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


Simplifying
5(x + -11) + -4 = 11 + -5x

Reorder the terms:
5(-11 + x) + -4 = 11 + -5x
(-11 * 5 + x * 5) + -4 = 11 + -5x
(-55 + 5x) + -4 = 11 + -5x

Reorder the terms:
-55 + -4 + 5x = 11 + -5x

Combine like terms: -55 + -4 = -59
-59 + 5x = 11 + -5x

Solving
-59 + 5x = 11 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-59 + 5x + 5x = 11 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-59 + 10x = 11 + -5x + 5x

Combine like terms: -5x + 5x = 0
-59 + 10x = 11 + 0
-59 + 10x = 11

Add '59' to each side of the equation.
-59 + 59 + 10x = 11 + 59

Combine like terms: -59 + 59 = 0
0 + 10x = 11 + 59
10x = 11 + 59

Combine like terms: 11 + 59 = 70
10x = 70

Divide each side by '10'.
x = 7

Simplifying
x = 7

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