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

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


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

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

Reorder the terms:
-6 + 3 + -3x = 5(x + 5) + 3

Combine like terms: -6 + 3 = -3
-3 + -3x = 5(x + 5) + 3

Reorder the terms:
-3 + -3x = 5(5 + x) + 3
-3 + -3x = (5 * 5 + x * 5) + 3
-3 + -3x = (25 + 5x) + 3

Reorder the terms:
-3 + -3x = 25 + 3 + 5x

Combine like terms: 25 + 3 = 28
-3 + -3x = 28 + 5x

Solving
-3 + -3x = 28 + 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.
-3 + -3x + -5x = 28 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-3 + -8x = 28 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -8x = 28 + 0
-3 + -8x = 28

Add '3' to each side of the equation.
-3 + 3 + -8x = 28 + 3

Combine like terms: -3 + 3 = 0
0 + -8x = 28 + 3
-8x = 28 + 3

Combine like terms: 28 + 3 = 31
-8x = 31

Divide each side by '-8'.
x = -3.875

Simplifying
x = -3.875

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