5x-2=8x-7

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Solution for 5x-2=8x-7 equation:


Simplifying
5x + -2 = 8x + -7

Reorder the terms:
-2 + 5x = 8x + -7

Reorder the terms:
-2 + 5x = -7 + 8x

Solving
-2 + 5x = -7 + 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.
-2 + 5x + -8x = -7 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-2 + -3x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + -3x = -7 + 0
-2 + -3x = -7

Add '2' to each side of the equation.
-2 + 2 + -3x = -7 + 2

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

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

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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