59-2x+3x+7=3x+42

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Solution for 59-2x+3x+7=3x+42 equation:


Simplifying
59 + -2x + 3x + 7 = 3x + 42

Reorder the terms:
59 + 7 + -2x + 3x = 3x + 42

Combine like terms: 59 + 7 = 66
66 + -2x + 3x = 3x + 42

Combine like terms: -2x + 3x = 1x
66 + 1x = 3x + 42

Reorder the terms:
66 + 1x = 42 + 3x

Solving
66 + 1x = 42 + 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.
66 + 1x + -3x = 42 + 3x + -3x

Combine like terms: 1x + -3x = -2x
66 + -2x = 42 + 3x + -3x

Combine like terms: 3x + -3x = 0
66 + -2x = 42 + 0
66 + -2x = 42

Add '-66' to each side of the equation.
66 + -66 + -2x = 42 + -66

Combine like terms: 66 + -66 = 0
0 + -2x = 42 + -66
-2x = 42 + -66

Combine like terms: 42 + -66 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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