5x+1=7x-8

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Solution for 5x+1=7x-8 equation:


Simplifying
5x + 1 = 7x + -8

Reorder the terms:
1 + 5x = 7x + -8

Reorder the terms:
1 + 5x = -8 + 7x

Solving
1 + 5x = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
1 + 5x + -7x = -8 + 7x + -7x

Combine like terms: 5x + -7x = -2x
1 + -2x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -2x = -8 + 0
1 + -2x = -8

Add '-1' to each side of the equation.
1 + -1 + -2x = -8 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -8 + -1
-2x = -8 + -1

Combine like terms: -8 + -1 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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