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

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Solution for 2(x+3)-5=5x-3(1+3) equation:


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

Reorder the terms:
2(3 + x) + -5 = 5x + -3(1 + 3)
(3 * 2 + x * 2) + -5 = 5x + -3(1 + 3)
(6 + 2x) + -5 = 5x + -3(1 + 3)

Reorder the terms:
6 + -5 + 2x = 5x + -3(1 + 3)

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

Combine like terms: 1 + 3 = 4
1 + 2x = 5x + -3(4)

Multiply -3 * 4
1 + 2x = 5x + -12

Reorder the terms:
1 + 2x = -12 + 5x

Solving
1 + 2x = -12 + 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.
1 + 2x + -5x = -12 + 5x + -5x

Combine like terms: 2x + -5x = -3x
1 + -3x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -3x = -12 + 0
1 + -3x = -12

Add '-1' to each side of the equation.
1 + -1 + -3x = -12 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -12 + -1
-3x = -12 + -1

Combine like terms: -12 + -1 = -13
-3x = -13

Divide each side by '-3'.
x = 4.333333333

Simplifying
x = 4.333333333

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