5x-3=8x+7

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Solution for 5x-3=8x+7 equation:


Simplifying
5x + -3 = 8x + 7

Reorder the terms:
-3 + 5x = 8x + 7

Reorder the terms:
-3 + 5x = 7 + 8x

Solving
-3 + 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.
-3 + 5x + -8x = 7 + 8x + -8x

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

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

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

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

Combine like terms: 7 + 3 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

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