6x-7=33-4x

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Solution for 6x-7=33-4x equation:


Simplifying
6x + -7 = 33 + -4x

Reorder the terms:
-7 + 6x = 33 + -4x

Solving
-7 + 6x = 33 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-7 + 6x + 4x = 33 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-7 + 10x = 33 + -4x + 4x

Combine like terms: -4x + 4x = 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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