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

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


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

Reorder the terms:
2(4 + x) + -3 = 3(2x + -3) + 5
(4 * 2 + x * 2) + -3 = 3(2x + -3) + 5
(8 + 2x) + -3 = 3(2x + -3) + 5

Reorder the terms:
8 + -3 + 2x = 3(2x + -3) + 5

Combine like terms: 8 + -3 = 5
5 + 2x = 3(2x + -3) + 5

Reorder the terms:
5 + 2x = 3(-3 + 2x) + 5
5 + 2x = (-3 * 3 + 2x * 3) + 5
5 + 2x = (-9 + 6x) + 5

Reorder the terms:
5 + 2x = -9 + 5 + 6x

Combine like terms: -9 + 5 = -4
5 + 2x = -4 + 6x

Solving
5 + 2x = -4 + 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.
5 + 2x + -6x = -4 + 6x + -6x

Combine like terms: 2x + -6x = -4x
5 + -4x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -4x = -4 + 0
5 + -4x = -4

Add '-5' to each side of the equation.
5 + -5 + -4x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = -4 + -5
-4x = -4 + -5

Combine like terms: -4 + -5 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25

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