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

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Solution for 2(x+3)-5=4x-(x+3) equation:


Simplifying
2(x + 3) + -5 = 4x + -1(x + 3)

Reorder the terms:
2(3 + x) + -5 = 4x + -1(x + 3)
(3 * 2 + x * 2) + -5 = 4x + -1(x + 3)
(6 + 2x) + -5 = 4x + -1(x + 3)

Reorder the terms:
6 + -5 + 2x = 4x + -1(x + 3)

Combine like terms: 6 + -5 = 1
1 + 2x = 4x + -1(x + 3)

Reorder the terms:
1 + 2x = 4x + -1(3 + x)
1 + 2x = 4x + (3 * -1 + x * -1)
1 + 2x = 4x + (-3 + -1x)

Reorder the terms:
1 + 2x = -3 + 4x + -1x

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

Solving
1 + 2x = -3 + 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.
1 + 2x + -3x = -3 + 3x + -3x

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

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

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

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

Combine like terms: -3 + -1 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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