2x+30=3x-7

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Solution for 2x+30=3x-7 equation:


Simplifying
2x + 30 = 3x + -7

Reorder the terms:
30 + 2x = 3x + -7

Reorder the terms:
30 + 2x = -7 + 3x

Solving
30 + 2x = -7 + 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.
30 + 2x + -3x = -7 + 3x + -3x

Combine like terms: 2x + -3x = -1x
30 + -1x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + -1x = -7 + 0
30 + -1x = -7

Add '-30' to each side of the equation.
30 + -30 + -1x = -7 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = -7 + -30
-1x = -7 + -30

Combine like terms: -7 + -30 = -37
-1x = -37

Divide each side by '-1'.
x = 37

Simplifying
x = 37

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