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

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


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

Reorder the terms:
6(2 + 3x) + -4 = 5(3 + -2x)
(2 * 6 + 3x * 6) + -4 = 5(3 + -2x)
(12 + 18x) + -4 = 5(3 + -2x)

Reorder the terms:
12 + -4 + 18x = 5(3 + -2x)

Combine like terms: 12 + -4 = 8
8 + 18x = 5(3 + -2x)
8 + 18x = (3 * 5 + -2x * 5)
8 + 18x = (15 + -10x)

Solving
8 + 18x = 15 + -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.
8 + 18x + 10x = 15 + -10x + 10x

Combine like terms: 18x + 10x = 28x
8 + 28x = 15 + -10x + 10x

Combine like terms: -10x + 10x = 0
8 + 28x = 15 + 0
8 + 28x = 15

Add '-8' to each side of the equation.
8 + -8 + 28x = 15 + -8

Combine like terms: 8 + -8 = 0
0 + 28x = 15 + -8
28x = 15 + -8

Combine like terms: 15 + -8 = 7
28x = 7

Divide each side by '28'.
x = 0.25

Simplifying
x = 0.25

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