5x-1=2x+7

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Solution for 5x-1=2x+7 equation:


Simplifying
5x + -1 = 2x + 7

Reorder the terms:
-1 + 5x = 2x + 7

Reorder the terms:
-1 + 5x = 7 + 2x

Solving
-1 + 5x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + 5x + -2x = 7 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-1 + 3x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 3x = 7 + 0
-1 + 3x = 7

Add '1' to each side of the equation.
-1 + 1 + 3x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 7 + 1
3x = 7 + 1

Combine like terms: 7 + 1 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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