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

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


Simplifying
0 = -3(4x + 2) + 5(2x + -3)

Reorder the terms:
0 = -3(2 + 4x) + 5(2x + -3)
0 = (2 * -3 + 4x * -3) + 5(2x + -3)
0 = (-6 + -12x) + 5(2x + -3)

Reorder the terms:
0 = -6 + -12x + 5(-3 + 2x)
0 = -6 + -12x + (-3 * 5 + 2x * 5)
0 = -6 + -12x + (-15 + 10x)

Reorder the terms:
0 = -6 + -15 + -12x + 10x

Combine like terms: -6 + -15 = -21
0 = -21 + -12x + 10x

Combine like terms: -12x + 10x = -2x
0 = -21 + -2x

Solving
0 = -21 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
0 + 2x = -21 + -2x + 2x
Remove the zero:
2x = -21 + -2x + 2x

Combine like terms: -2x + 2x = 0
2x = -21 + 0
2x = -21

Divide each side by '2'.
x = -10.5

Simplifying
x = -10.5

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