2x-3+5x-8=-6x+54

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Solution for 2x-3+5x-8=-6x+54 equation:


Simplifying
2x + -3 + 5x + -8 = -6x + 54

Reorder the terms:
-3 + -8 + 2x + 5x = -6x + 54

Combine like terms: -3 + -8 = -11
-11 + 2x + 5x = -6x + 54

Combine like terms: 2x + 5x = 7x
-11 + 7x = -6x + 54

Reorder the terms:
-11 + 7x = 54 + -6x

Solving
-11 + 7x = 54 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-11 + 7x + 6x = 54 + -6x + 6x

Combine like terms: 7x + 6x = 13x
-11 + 13x = 54 + -6x + 6x

Combine like terms: -6x + 6x = 0
-11 + 13x = 54 + 0
-11 + 13x = 54

Add '11' to each side of the equation.
-11 + 11 + 13x = 54 + 11

Combine like terms: -11 + 11 = 0
0 + 13x = 54 + 11
13x = 54 + 11

Combine like terms: 54 + 11 = 65
13x = 65

Divide each side by '13'.
x = 5

Simplifying
x = 5

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