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

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


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

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

Reorder the terms:
3 + 6x + 4(-2 + 3x) = 13
3 + 6x + (-2 * 4 + 3x * 4) = 13
3 + 6x + (-8 + 12x) = 13

Reorder the terms:
3 + -8 + 6x + 12x = 13

Combine like terms: 3 + -8 = -5
-5 + 6x + 12x = 13

Combine like terms: 6x + 12x = 18x
-5 + 18x = 13

Solving
-5 + 18x = 13

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 18x = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 18x = 13 + 5
18x = 13 + 5

Combine like terms: 13 + 5 = 18
18x = 18

Divide each side by '18'.
x = 1

Simplifying
x = 1

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