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

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


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

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

Reorder the terms:
12 + 4x + -3(-5 + 2x) = x
12 + 4x + (-5 * -3 + 2x * -3) = x
12 + 4x + (15 + -6x) = x

Reorder the terms:
12 + 15 + 4x + -6x = x

Combine like terms: 12 + 15 = 27
27 + 4x + -6x = x

Combine like terms: 4x + -6x = -2x
27 + -2x = x

Solving
27 + -2x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
27 + -2x + -1x = x + -1x

Combine like terms: -2x + -1x = -3x
27 + -3x = x + -1x

Combine like terms: x + -1x = 0
27 + -3x = 0

Add '-27' to each side of the equation.
27 + -27 + -3x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -3x = 0 + -27
-3x = 0 + -27

Combine like terms: 0 + -27 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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