4x+3+x+5x-6=2x+13

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Solution for 4x+3+x+5x-6=2x+13 equation:


Simplifying
4x + 3 + x + 5x + -6 = 2x + 13

Reorder the terms:
3 + -6 + 4x + x + 5x = 2x + 13

Combine like terms: 3 + -6 = -3
-3 + 4x + x + 5x = 2x + 13

Combine like terms: 4x + x = 5x
-3 + 5x + 5x = 2x + 13

Combine like terms: 5x + 5x = 10x
-3 + 10x = 2x + 13

Reorder the terms:
-3 + 10x = 13 + 2x

Solving
-3 + 10x = 13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 10x + -2x = 13 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-3 + 8x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 8x = 13 + 0
-3 + 8x = 13

Add '3' to each side of the equation.
-3 + 3 + 8x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = 13 + 3
8x = 13 + 3

Combine like terms: 13 + 3 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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