x-1=5x+3x-8

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Solution for x-1=5x+3x-8 equation:


Simplifying
x + -1 = 5x + 3x + -8

Reorder the terms:
-1 + x = 5x + 3x + -8

Reorder the terms:
-1 + x = -8 + 5x + 3x

Combine like terms: 5x + 3x = 8x
-1 + x = -8 + 8x

Solving
-1 + x = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-1 + x + -8x = -8 + 8x + -8x

Combine like terms: x + -8x = -7x
-1 + -7x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + -7x = -8 + 0
-1 + -7x = -8

Add '1' to each side of the equation.
-1 + 1 + -7x = -8 + 1

Combine like terms: -1 + 1 = 0
0 + -7x = -8 + 1
-7x = -8 + 1

Combine like terms: -8 + 1 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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