5(x+3)-3=3x-8x+7

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Solution for 5(x+3)-3=3x-8x+7 equation:


Simplifying
5(x + 3) + -3 = 3x + -8x + 7

Reorder the terms:
5(3 + x) + -3 = 3x + -8x + 7
(3 * 5 + x * 5) + -3 = 3x + -8x + 7
(15 + 5x) + -3 = 3x + -8x + 7

Reorder the terms:
15 + -3 + 5x = 3x + -8x + 7

Combine like terms: 15 + -3 = 12
12 + 5x = 3x + -8x + 7

Reorder the terms:
12 + 5x = 7 + 3x + -8x

Combine like terms: 3x + -8x = -5x
12 + 5x = 7 + -5x

Solving
12 + 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.
12 + 5x + 5x = 7 + -5x + 5x

Combine like terms: 5x + 5x = 10x
12 + 10x = 7 + -5x + 5x

Combine like terms: -5x + 5x = 0
12 + 10x = 7 + 0
12 + 10x = 7

Add '-12' to each side of the equation.
12 + -12 + 10x = 7 + -12

Combine like terms: 12 + -12 = 0
0 + 10x = 7 + -12
10x = 7 + -12

Combine like terms: 7 + -12 = -5
10x = -5

Divide each side by '10'.
x = -0.5

Simplifying
x = -0.5

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