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

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


Simplifying
4(x + -3) = 3(-1x + 2) + 5x

Reorder the terms:
4(-3 + x) = 3(-1x + 2) + 5x
(-3 * 4 + x * 4) = 3(-1x + 2) + 5x
(-12 + 4x) = 3(-1x + 2) + 5x

Reorder the terms:
-12 + 4x = 3(2 + -1x) + 5x
-12 + 4x = (2 * 3 + -1x * 3) + 5x
-12 + 4x = (6 + -3x) + 5x

Combine like terms: -3x + 5x = 2x
-12 + 4x = 6 + 2x

Solving
-12 + 4x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-12 + 4x + -2x = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-12 + 2x = 6 + 0
-12 + 2x = 6

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

Combine like terms: -12 + 12 = 0
0 + 2x = 6 + 12
2x = 6 + 12

Combine like terms: 6 + 12 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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