2x+7=6x-33

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Solution for 2x+7=6x-33 equation:


Simplifying
2x + 7 = 6x + -33

Reorder the terms:
7 + 2x = 6x + -33

Reorder the terms:
7 + 2x = -33 + 6x

Solving
7 + 2x = -33 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
7 + 2x + -6x = -33 + 6x + -6x

Combine like terms: 2x + -6x = -4x
7 + -4x = -33 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -4x = -33 + 0
7 + -4x = -33

Add '-7' to each side of the equation.
7 + -7 + -4x = -33 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = -33 + -7
-4x = -33 + -7

Combine like terms: -33 + -7 = -40
-4x = -40

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

Simplifying
x = 10

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