2x-(3x+7)=9x-37

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Solution for 2x-(3x+7)=9x-37 equation:


Simplifying
2x + -1(3x + 7) = 9x + -37

Reorder the terms:
2x + -1(7 + 3x) = 9x + -37
2x + (7 * -1 + 3x * -1) = 9x + -37
2x + (-7 + -3x) = 9x + -37

Reorder the terms:
-7 + 2x + -3x = 9x + -37

Combine like terms: 2x + -3x = -1x
-7 + -1x = 9x + -37

Reorder the terms:
-7 + -1x = -37 + 9x

Solving
-7 + -1x = -37 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-7 + -1x + -9x = -37 + 9x + -9x

Combine like terms: -1x + -9x = -10x
-7 + -10x = -37 + 9x + -9x

Combine like terms: 9x + -9x = 0
-7 + -10x = -37 + 0
-7 + -10x = -37

Add '7' to each side of the equation.
-7 + 7 + -10x = -37 + 7

Combine like terms: -7 + 7 = 0
0 + -10x = -37 + 7
-10x = -37 + 7

Combine like terms: -37 + 7 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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