(5x-8)=7+(x-3)

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


Simplifying
(5x + -8) = 7 + (x + -3)

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

Remove parenthesis around (-8 + 5x)
-8 + 5x = 7 + (x + -3)

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

Remove parenthesis around (-3 + x)
-8 + 5x = 7 + -3 + x

Combine like terms: 7 + -3 = 4
-8 + 5x = 4 + x

Solving
-8 + 5x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 5x + -1x = 4 + x + -1x

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

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

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

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

Combine like terms: 4 + 8 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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