70+(x+10)=(3x-22)

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Solution for 70+(x+10)=(3x-22) equation:


Simplifying
70 + (x + 10) = (3x + -22)

Reorder the terms:
70 + (10 + x) = (3x + -22)

Remove parenthesis around (10 + x)
70 + 10 + x = (3x + -22)

Combine like terms: 70 + 10 = 80
80 + x = (3x + -22)

Reorder the terms:
80 + x = (-22 + 3x)

Remove parenthesis around (-22 + 3x)
80 + x = -22 + 3x

Solving
80 + x = -22 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
80 + x + -3x = -22 + 3x + -3x

Combine like terms: x + -3x = -2x
80 + -2x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0
80 + -2x = -22 + 0
80 + -2x = -22

Add '-80' to each side of the equation.
80 + -80 + -2x = -22 + -80

Combine like terms: 80 + -80 = 0
0 + -2x = -22 + -80
-2x = -22 + -80

Combine like terms: -22 + -80 = -102
-2x = -102

Divide each side by '-2'.
x = 51

Simplifying
x = 51

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