x-7=5x-35

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Solution for x-7=5x-35 equation:


Simplifying
x + -7 = 5x + -35

Reorder the terms:
-7 + x = 5x + -35

Reorder the terms:
-7 + x = -35 + 5x

Solving
-7 + x = -35 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-7 + x + -5x = -35 + 5x + -5x

Combine like terms: x + -5x = -4x
-7 + -4x = -35 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + -4x = -35 + 0
-7 + -4x = -35

Add '7' to each side of the equation.
-7 + 7 + -4x = -35 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = -35 + 7
-4x = -35 + 7

Combine like terms: -35 + 7 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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