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

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


Simplifying
5(x + 5) + -3 = 3(2 + -1x)

Reorder the terms:
5(5 + x) + -3 = 3(2 + -1x)
(5 * 5 + x * 5) + -3 = 3(2 + -1x)
(25 + 5x) + -3 = 3(2 + -1x)

Reorder the terms:
25 + -3 + 5x = 3(2 + -1x)

Combine like terms: 25 + -3 = 22
22 + 5x = 3(2 + -1x)
22 + 5x = (2 * 3 + -1x * 3)
22 + 5x = (6 + -3x)

Solving
22 + 5x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
22 + 5x + 3x = 6 + -3x + 3x

Combine like terms: 5x + 3x = 8x
22 + 8x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
22 + 8x = 6 + 0
22 + 8x = 6

Add '-22' to each side of the equation.
22 + -22 + 8x = 6 + -22

Combine like terms: 22 + -22 = 0
0 + 8x = 6 + -22
8x = 6 + -22

Combine like terms: 6 + -22 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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