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

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


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

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

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

Combine like terms: -9 + -5 = -14
-14 + 6x = 2(5x + 2) + -3x + 2

Reorder the terms:
-14 + 6x = 2(2 + 5x) + -3x + 2
-14 + 6x = (2 * 2 + 5x * 2) + -3x + 2
-14 + 6x = (4 + 10x) + -3x + 2

Reorder the terms:
-14 + 6x = 4 + 2 + 10x + -3x

Combine like terms: 4 + 2 = 6
-14 + 6x = 6 + 10x + -3x

Combine like terms: 10x + -3x = 7x
-14 + 6x = 6 + 7x

Solving
-14 + 6x = 6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-14 + 6x + -7x = 6 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-14 + -1x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-14 + -1x = 6 + 0
-14 + -1x = 6

Add '14' to each side of the equation.
-14 + 14 + -1x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 6 + 14
-1x = 6 + 14

Combine like terms: 6 + 14 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20

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