2(x+3)+3(4x-1)=4x+13

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Solution for 2(x+3)+3(4x-1)=4x+13 equation:


Simplifying
2(x + 3) + 3(4x + -1) = 4x + 13

Reorder the terms:
2(3 + x) + 3(4x + -1) = 4x + 13
(3 * 2 + x * 2) + 3(4x + -1) = 4x + 13
(6 + 2x) + 3(4x + -1) = 4x + 13

Reorder the terms:
6 + 2x + 3(-1 + 4x) = 4x + 13
6 + 2x + (-1 * 3 + 4x * 3) = 4x + 13
6 + 2x + (-3 + 12x) = 4x + 13

Reorder the terms:
6 + -3 + 2x + 12x = 4x + 13

Combine like terms: 6 + -3 = 3
3 + 2x + 12x = 4x + 13

Combine like terms: 2x + 12x = 14x
3 + 14x = 4x + 13

Reorder the terms:
3 + 14x = 13 + 4x

Solving
3 + 14x = 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.
3 + 14x + -4x = 13 + 4x + -4x

Combine like terms: 14x + -4x = 10x
3 + 10x = 13 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + 10x = 13 + 0
3 + 10x = 13

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

Combine like terms: 3 + -3 = 0
0 + 10x = 13 + -3
10x = 13 + -3

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

Divide each side by '10'.
x = 1

Simplifying
x = 1

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