5(2x+1)-2(x-2)=6x+13

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Solution for 5(2x+1)-2(x-2)=6x+13 equation: 


Simplifying
5(2x + 1) + -2(x + -2) = 6x + 13

Reorder the terms:
5(1 + 2x) + -2(x + -2) = 6x + 13
(1 * 5 + 2x * 5) + -2(x + -2) = 6x + 13
(5 + 10x) + -2(x + -2) = 6x + 13

Reorder the terms:
5 + 10x + -2(-2 + x) = 6x + 13
5 + 10x + (-2 * -2 + x * -2) = 6x + 13
5 + 10x + (4 + -2x) = 6x + 13

Reorder the terms:
5 + 4 + 10x + -2x = 6x + 13

Combine like terms: 5 + 4 = 9
9 + 10x + -2x = 6x + 13

Combine like terms: 10x + -2x = 8x
9 + 8x = 6x + 13

Reorder the terms:
9 + 8x = 13 + 6x

Solving
9 + 8x = 13 + 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.
9 + 8x + -6x = 13 + 6x + -6x

Combine like terms: 8x + -6x = 2x
9 + 2x = 13 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + 2x = 13 + 0
9 + 2x = 13

Add '-9' to each side of the equation.
9 + -9 + 2x = 13 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 13 + -9
2x = 13 + -9

Combine like terms: 13 + -9 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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