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

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


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

Reorder the terms:
5(3 + 2x) = 6(x + 2) + -2(x + -4)
(3 * 5 + 2x * 5) = 6(x + 2) + -2(x + -4)
(15 + 10x) = 6(x + 2) + -2(x + -4)

Reorder the terms:
15 + 10x = 6(2 + x) + -2(x + -4)
15 + 10x = (2 * 6 + x * 6) + -2(x + -4)
15 + 10x = (12 + 6x) + -2(x + -4)

Reorder the terms:
15 + 10x = 12 + 6x + -2(-4 + x)
15 + 10x = 12 + 6x + (-4 * -2 + x * -2)
15 + 10x = 12 + 6x + (8 + -2x)

Reorder the terms:
15 + 10x = 12 + 8 + 6x + -2x

Combine like terms: 12 + 8 = 20
15 + 10x = 20 + 6x + -2x

Combine like terms: 6x + -2x = 4x
15 + 10x = 20 + 4x

Solving
15 + 10x = 20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 10x + -4x = 20 + 4x + -4x

Combine like terms: 10x + -4x = 6x
15 + 6x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 6x = 20 + 0
15 + 6x = 20

Add '-15' to each side of the equation.
15 + -15 + 6x = 20 + -15

Combine like terms: 15 + -15 = 0
0 + 6x = 20 + -15
6x = 20 + -15

Combine like terms: 20 + -15 = 5
6x = 5

Divide each side by '6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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