5(2x+1)+2(x+4)=13

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Solution for 5(2x+1)+2(x+4)=13 equation:


Simplifying
5(2x + 1) + 2(x + 4) = 13

Reorder the terms:
5(1 + 2x) + 2(x + 4) = 13
(1 * 5 + 2x * 5) + 2(x + 4) = 13
(5 + 10x) + 2(x + 4) = 13

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

Reorder the terms:
5 + 8 + 10x + 2x = 13

Combine like terms: 5 + 8 = 13
13 + 10x + 2x = 13

Combine like terms: 10x + 2x = 12x
13 + 12x = 13

Add '-13' to each side of the equation.
13 + -13 + 12x = 13 + -13

Combine like terms: 13 + -13 = 0
0 + 12x = 13 + -13
12x = 13 + -13

Combine like terms: 13 + -13 = 0
12x = 0

Solving
12x = 0

Solving for variable 'x'.

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

Divide each side by '12'.
x = 0

Simplifying
x = 0

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