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

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


Simplifying
2(6 + 2x) + 3 = 4(6 + 5x)
(6 * 2 + 2x * 2) + 3 = 4(6 + 5x)
(12 + 4x) + 3 = 4(6 + 5x)

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

Combine like terms: 12 + 3 = 15
15 + 4x = 4(6 + 5x)
15 + 4x = (6 * 4 + 5x * 4)
15 + 4x = (24 + 20x)

Solving
15 + 4x = 24 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
15 + 4x + -20x = 24 + 20x + -20x

Combine like terms: 4x + -20x = -16x
15 + -16x = 24 + 20x + -20x

Combine like terms: 20x + -20x = 0
15 + -16x = 24 + 0
15 + -16x = 24

Add '-15' to each side of the equation.
15 + -15 + -16x = 24 + -15

Combine like terms: 15 + -15 = 0
0 + -16x = 24 + -15
-16x = 24 + -15

Combine like terms: 24 + -15 = 9
-16x = 9

Divide each side by '-16'.
x = -0.5625

Simplifying
x = -0.5625

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