3x+11=(x-7)*5

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Solution for 3x+11=(x-7)*5 equation: 


Simplifying
3x + 11 = (x + -7) * 5

Reorder the terms:
11 + 3x = (x + -7) * 5

Reorder the terms:
11 + 3x = (-7 + x) * 5

Reorder the terms for easier multiplication:
11 + 3x = 5(-7 + x)
11 + 3x = (-7 * 5 + x * 5)
11 + 3x = (-35 + 5x)

Solving
11 + 3x = -35 + 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.
11 + 3x + -5x = -35 + 5x + -5x

Combine like terms: 3x + -5x = -2x
11 + -2x = -35 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -2x = -35 + 0
11 + -2x = -35

Add '-11' to each side of the equation.
11 + -11 + -2x = -35 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -35 + -11
-2x = -35 + -11

Combine like terms: -35 + -11 = -46
-2x = -46

Divide each side by '-2'.
x = 23

Simplifying
x = 23

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