-3x+7=7x-33

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Solution for -3x+7=7x-33 equation:


Simplifying
-3x + 7 = 7x + -33

Reorder the terms:
7 + -3x = 7x + -33

Reorder the terms:
7 + -3x = -33 + 7x

Solving
7 + -3x = -33 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
7 + -3x + -7x = -33 + 7x + -7x

Combine like terms: -3x + -7x = -10x
7 + -10x = -33 + 7x + -7x

Combine like terms: 7x + -7x = 0
7 + -10x = -33 + 0
7 + -10x = -33

Add '-7' to each side of the equation.
7 + -7 + -10x = -33 + -7

Combine like terms: 7 + -7 = 0
0 + -10x = -33 + -7
-10x = -33 + -7

Combine like terms: -33 + -7 = -40
-10x = -40

Divide each side by '-10'.
x = 4

Simplifying
x = 4

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