5(3-x)=2x+3x-7

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Solution for 5(3-x)=2x+3x-7 equation:


Simplifying
5(3 + -1x) = 2x + 3x + -7
(3 * 5 + -1x * 5) = 2x + 3x + -7
(15 + -5x) = 2x + 3x + -7

Reorder the terms:
15 + -5x = -7 + 2x + 3x

Combine like terms: 2x + 3x = 5x
15 + -5x = -7 + 5x

Solving
15 + -5x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
15 + -5x + -5x = -7 + 5x + -5x

Combine like terms: -5x + -5x = -10x
15 + -10x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -10x = -7 + 0
15 + -10x = -7

Add '-15' to each side of the equation.
15 + -15 + -10x = -7 + -15

Combine like terms: 15 + -15 = 0
0 + -10x = -7 + -15
-10x = -7 + -15

Combine like terms: -7 + -15 = -22
-10x = -22

Divide each side by '-10'.
x = 2.2

Simplifying
x = 2.2

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