7x-2-5x+3=6x-33

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Solution for 7x-2-5x+3=6x-33 equation:


Simplifying
7x + -2 + -5x + 3 = 6x + -33

Reorder the terms:
-2 + 3 + 7x + -5x = 6x + -33

Combine like terms: -2 + 3 = 1
1 + 7x + -5x = 6x + -33

Combine like terms: 7x + -5x = 2x
1 + 2x = 6x + -33

Reorder the terms:
1 + 2x = -33 + 6x

Solving
1 + 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.
1 + 2x + -6x = -33 + 6x + -6x

Combine like terms: 2x + -6x = -4x
1 + -4x = -33 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -4x = -33 + 0
1 + -4x = -33

Add '-1' to each side of the equation.
1 + -1 + -4x = -33 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = -33 + -1
-4x = -33 + -1

Combine like terms: -33 + -1 = -34
-4x = -34

Divide each side by '-4'.
x = 8.5

Simplifying
x = 8.5

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