7x-28+x=6x-40

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Solution for 7x-28+x=6x-40 equation:


Simplifying
7x + -28 + x = 6x + -40

Reorder the terms:
-28 + 7x + x = 6x + -40

Combine like terms: 7x + x = 8x
-28 + 8x = 6x + -40

Reorder the terms:
-28 + 8x = -40 + 6x

Solving
-28 + 8x = -40 + 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.
-28 + 8x + -6x = -40 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-28 + 2x = -40 + 6x + -6x

Combine like terms: 6x + -6x = 0
-28 + 2x = -40 + 0
-28 + 2x = -40

Add '28' to each side of the equation.
-28 + 28 + 2x = -40 + 28

Combine like terms: -28 + 28 = 0
0 + 2x = -40 + 28
2x = -40 + 28

Combine like terms: -40 + 28 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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