3x+9+7x-2=6x-33

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Solution for 3x+9+7x-2=6x-33 equation:


Simplifying
3x + 9 + 7x + -2 = 6x + -33

Reorder the terms:
9 + -2 + 3x + 7x = 6x + -33

Combine like terms: 9 + -2 = 7
7 + 3x + 7x = 6x + -33

Combine like terms: 3x + 7x = 10x
7 + 10x = 6x + -33

Reorder the terms:
7 + 10x = -33 + 6x

Solving
7 + 10x = -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 + 10x + -6x = -33 + 6x + -6x

Combine like terms: 10x + -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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