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

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


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

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

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

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

Reorder the terms:
1 + 2x = 3(-4 + 2x)
1 + 2x = (-4 * 3 + 2x * 3)
1 + 2x = (-12 + 6x)

Solving
1 + 2x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 2x + -6x = -12 + 6x + -6x

Combine like terms: 2x + -6x = -4x
1 + -4x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -4x = -12 + 0
1 + -4x = -12

Add '-1' to each side of the equation.
1 + -1 + -4x = -12 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = -12 + -1
-4x = -12 + -1

Combine like terms: -12 + -1 = -13
-4x = -13

Divide each side by '-4'.
x = 3.25

Simplifying
x = 3.25

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