2(5x+8)-3x=4x+13

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Solution for 2(5x+8)-3x=4x+13 equation:


Simplifying
2(5x + 8) + -3x = 4x + 13

Reorder the terms:
2(8 + 5x) + -3x = 4x + 13
(8 * 2 + 5x * 2) + -3x = 4x + 13
(16 + 10x) + -3x = 4x + 13

Combine like terms: 10x + -3x = 7x
16 + 7x = 4x + 13

Reorder the terms:
16 + 7x = 13 + 4x

Solving
16 + 7x = 13 + 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.
16 + 7x + -4x = 13 + 4x + -4x

Combine like terms: 7x + -4x = 3x
16 + 3x = 13 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + 3x = 13 + 0
16 + 3x = 13

Add '-16' to each side of the equation.
16 + -16 + 3x = 13 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 13 + -16
3x = 13 + -16

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

Divide each side by '3'.
x = -1

Simplifying
x = -1

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