5(3-x)=-5(2x+3)+14

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Solution for 5(3-x)=-5(2x+3)+14 equation:


Simplifying
5(3 + -1x) = -5(2x + 3) + 14
(3 * 5 + -1x * 5) = -5(2x + 3) + 14
(15 + -5x) = -5(2x + 3) + 14

Reorder the terms:
15 + -5x = -5(3 + 2x) + 14
15 + -5x = (3 * -5 + 2x * -5) + 14
15 + -5x = (-15 + -10x) + 14

Reorder the terms:
15 + -5x = -15 + 14 + -10x

Combine like terms: -15 + 14 = -1
15 + -5x = -1 + -10x

Solving
15 + -5x = -1 + -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.
15 + -5x + 10x = -1 + -10x + 10x

Combine like terms: -5x + 10x = 5x
15 + 5x = -1 + -10x + 10x

Combine like terms: -10x + 10x = 0
15 + 5x = -1 + 0
15 + 5x = -1

Add '-15' to each side of the equation.
15 + -15 + 5x = -1 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = -1 + -15
5x = -1 + -15

Combine like terms: -1 + -15 = -16
5x = -16

Divide each side by '5'.
x = -3.2

Simplifying
x = -3.2

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