(5x-8)=(4x+7)

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Solution for (5x-8)=(4x+7) equation:


Simplifying
(5x + -8) = (4x + 7)

Reorder the terms:
(-8 + 5x) = (4x + 7)

Remove parenthesis around (-8 + 5x)
-8 + 5x = (4x + 7)

Reorder the terms:
-8 + 5x = (7 + 4x)

Remove parenthesis around (7 + 4x)
-8 + 5x = 7 + 4x

Solving
-8 + 5x = 7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + 5x + -4x = 7 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-8 + 1x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + 1x = 7 + 0
-8 + 1x = 7

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

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

Combine like terms: 7 + 8 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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