5(2x+3)=3(4x-1)-2(3x+2)

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Solution for 5(2x+3)=3(4x-1)-2(3x+2) equation:


Simplifying
5(2x + 3) = 3(4x + -1) + -2(3x + 2)

Reorder the terms:
5(3 + 2x) = 3(4x + -1) + -2(3x + 2)
(3 * 5 + 2x * 5) = 3(4x + -1) + -2(3x + 2)
(15 + 10x) = 3(4x + -1) + -2(3x + 2)

Reorder the terms:
15 + 10x = 3(-1 + 4x) + -2(3x + 2)
15 + 10x = (-1 * 3 + 4x * 3) + -2(3x + 2)
15 + 10x = (-3 + 12x) + -2(3x + 2)

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

Reorder the terms:
15 + 10x = -3 + -4 + 12x + -6x

Combine like terms: -3 + -4 = -7
15 + 10x = -7 + 12x + -6x

Combine like terms: 12x + -6x = 6x
15 + 10x = -7 + 6x

Solving
15 + 10x = -7 + 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 = -7 + 6x + -6x

Combine like terms: 10x + -6x = 4x
15 + 4x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + 4x = -7 + 0
15 + 4x = -7

Add '-15' to each side of the equation.
15 + -15 + 4x = -7 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = -7 + -15
4x = -7 + -15

Combine like terms: -7 + -15 = -22
4x = -22

Divide each side by '4'.
x = -5.5

Simplifying
x = -5.5

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