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

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


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

Reorder the terms:
5(3 + 2x) = 4(2 + -3x) + 2(2 + 3x)
(3 * 5 + 2x * 5) = 4(2 + -3x) + 2(2 + 3x)
(15 + 10x) = 4(2 + -3x) + 2(2 + 3x)
15 + 10x = (2 * 4 + -3x * 4) + 2(2 + 3x)
15 + 10x = (8 + -12x) + 2(2 + 3x)
15 + 10x = 8 + -12x + (2 * 2 + 3x * 2)
15 + 10x = 8 + -12x + (4 + 6x)

Reorder the terms:
15 + 10x = 8 + 4 + -12x + 6x

Combine like terms: 8 + 4 = 12
15 + 10x = 12 + -12x + 6x

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

Solving
15 + 10x = 12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
15 + 10x + 6x = 12 + -6x + 6x

Combine like terms: 10x + 6x = 16x
15 + 16x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
15 + 16x = 12 + 0
15 + 16x = 12

Add '-15' to each side of the equation.
15 + -15 + 16x = 12 + -15

Combine like terms: 15 + -15 = 0
0 + 16x = 12 + -15
16x = 12 + -15

Combine like terms: 12 + -15 = -3
16x = -3

Divide each side by '16'.
x = -0.1875

Simplifying
x = -0.1875

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