3(2x+4)=2(5x-3)+6

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Solution for 3(2x+4)=2(5x-3)+6 equation:


Simplifying
3(2x + 4) = 2(5x + -3) + 6

Reorder the terms:
3(4 + 2x) = 2(5x + -3) + 6
(4 * 3 + 2x * 3) = 2(5x + -3) + 6
(12 + 6x) = 2(5x + -3) + 6

Reorder the terms:
12 + 6x = 2(-3 + 5x) + 6
12 + 6x = (-3 * 2 + 5x * 2) + 6
12 + 6x = (-6 + 10x) + 6

Reorder the terms:
12 + 6x = -6 + 6 + 10x

Combine like terms: -6 + 6 = 0
12 + 6x = 0 + 10x
12 + 6x = 10x

Solving
12 + 6x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + 6x + -10x = 10x + -10x

Combine like terms: 6x + -10x = -4x
12 + -4x = 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -4x = 0

Add '-12' to each side of the equation.
12 + -12 + -4x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 0 + -12
-4x = 0 + -12

Combine like terms: 0 + -12 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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