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

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


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

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

Reorder the terms:
12 + 6x = 5(-3 + 2x) + 6
12 + 6x = (-3 * 5 + 2x * 5) + 6
12 + 6x = (-15 + 10x) + 6

Reorder the terms:
12 + 6x = -15 + 6 + 10x

Combine like terms: -15 + 6 = -9
12 + 6x = -9 + 10x

Solving
12 + 6x = -9 + 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 = -9 + 10x + -10x

Combine like terms: 6x + -10x = -4x
12 + -4x = -9 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -4x = -9 + 0
12 + -4x = -9

Add '-12' to each side of the equation.
12 + -12 + -4x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -9 + -12
-4x = -9 + -12

Combine like terms: -9 + -12 = -21
-4x = -21

Divide each side by '-4'.
x = 5.25

Simplifying
x = 5.25

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