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

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


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

Reorder the terms:
-3(5 + x) + 5 = 5(x + 4) + 3
(5 * -3 + x * -3) + 5 = 5(x + 4) + 3
(-15 + -3x) + 5 = 5(x + 4) + 3

Reorder the terms:
-15 + 5 + -3x = 5(x + 4) + 3

Combine like terms: -15 + 5 = -10
-10 + -3x = 5(x + 4) + 3

Reorder the terms:
-10 + -3x = 5(4 + x) + 3
-10 + -3x = (4 * 5 + x * 5) + 3
-10 + -3x = (20 + 5x) + 3

Reorder the terms:
-10 + -3x = 20 + 3 + 5x

Combine like terms: 20 + 3 = 23
-10 + -3x = 23 + 5x

Solving
-10 + -3x = 23 + 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.
-10 + -3x + -5x = 23 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-10 + -8x = 23 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -8x = 23 + 0
-10 + -8x = 23

Add '10' to each side of the equation.
-10 + 10 + -8x = 23 + 10

Combine like terms: -10 + 10 = 0
0 + -8x = 23 + 10
-8x = 23 + 10

Combine like terms: 23 + 10 = 33
-8x = 33

Divide each side by '-8'.
x = -4.125

Simplifying
x = -4.125

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