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

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


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

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

Reorder the terms:
-3 + 2x = 4(3 + x) + -5x
-3 + 2x = (3 * 4 + x * 4) + -5x
-3 + 2x = (12 + 4x) + -5x

Combine like terms: 4x + -5x = -1x
-3 + 2x = 12 + -1x

Solving
-3 + 2x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-3 + 2x + x = 12 + -1x + x

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

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

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

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

Combine like terms: 12 + 3 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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