5(x+3)-35=3x-(x+3)

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Solution for 5(x+3)-35=3x-(x+3) equation:


Simplifying
5(x + 3) + -35 = 3x + -1(x + 3)

Reorder the terms:
5(3 + x) + -35 = 3x + -1(x + 3)
(3 * 5 + x * 5) + -35 = 3x + -1(x + 3)
(15 + 5x) + -35 = 3x + -1(x + 3)

Reorder the terms:
15 + -35 + 5x = 3x + -1(x + 3)

Combine like terms: 15 + -35 = -20
-20 + 5x = 3x + -1(x + 3)

Reorder the terms:
-20 + 5x = 3x + -1(3 + x)
-20 + 5x = 3x + (3 * -1 + x * -1)
-20 + 5x = 3x + (-3 + -1x)

Reorder the terms:
-20 + 5x = -3 + 3x + -1x

Combine like terms: 3x + -1x = 2x
-20 + 5x = -3 + 2x

Solving
-20 + 5x = -3 + 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.
-20 + 5x + -2x = -3 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-20 + 3x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 3x = -3 + 0
-20 + 3x = -3

Add '20' to each side of the equation.
-20 + 20 + 3x = -3 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = -3 + 20
3x = -3 + 20

Combine like terms: -3 + 20 = 17
3x = 17

Divide each side by '3'.
x = 5.666666667

Simplifying
x = 5.666666667

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