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

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


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

Reorder the terms:
3(5 + x) + -5 = 2(3 + -1x)
(5 * 3 + x * 3) + -5 = 2(3 + -1x)
(15 + 3x) + -5 = 2(3 + -1x)

Reorder the terms:
15 + -5 + 3x = 2(3 + -1x)

Combine like terms: 15 + -5 = 10
10 + 3x = 2(3 + -1x)
10 + 3x = (3 * 2 + -1x * 2)
10 + 3x = (6 + -2x)

Solving
10 + 3x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
10 + 3x + 2x = 6 + -2x + 2x

Combine like terms: 3x + 2x = 5x
10 + 5x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 5x = 6 + 0
10 + 5x = 6

Add '-10' to each side of the equation.
10 + -10 + 5x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 6 + -10
5x = 6 + -10

Combine like terms: 6 + -10 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8

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