6x-6+38=7x-4

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Solution for 6x-6+38=7x-4 equation:


Simplifying
6x + -6 + 38 = 7x + -4

Reorder the terms:
-6 + 38 + 6x = 7x + -4

Combine like terms: -6 + 38 = 32
32 + 6x = 7x + -4

Reorder the terms:
32 + 6x = -4 + 7x

Solving
32 + 6x = -4 + 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.
32 + 6x + -7x = -4 + 7x + -7x

Combine like terms: 6x + -7x = -1x
32 + -1x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
32 + -1x = -4 + 0
32 + -1x = -4

Add '-32' to each side of the equation.
32 + -32 + -1x = -4 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = -4 + -32
-1x = -4 + -32

Combine like terms: -4 + -32 = -36
-1x = -36

Divide each side by '-1'.
x = 36

Simplifying
x = 36

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