4(x-3)-2(2x+1)=3(3x-4)-5(x-1)+9

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Solution for 4(x-3)-2(2x+1)=3(3x-4)-5(x-1)+9 equation: 


Simplifying
4(x + -3) + -2(2x + 1) = 3(3x + -4) + -5(x + -1) + 9

Reorder the terms:
4(-3 + x) + -2(2x + 1) = 3(3x + -4) + -5(x + -1) + 9
(-3 * 4 + x * 4) + -2(2x + 1) = 3(3x + -4) + -5(x + -1) + 9
(-12 + 4x) + -2(2x + 1) = 3(3x + -4) + -5(x + -1) + 9

Reorder the terms:
-12 + 4x + -2(1 + 2x) = 3(3x + -4) + -5(x + -1) + 9
-12 + 4x + (1 * -2 + 2x * -2) = 3(3x + -4) + -5(x + -1) + 9
-12 + 4x + (-2 + -4x) = 3(3x + -4) + -5(x + -1) + 9

Reorder the terms:
-12 + -2 + 4x + -4x = 3(3x + -4) + -5(x + -1) + 9

Combine like terms: -12 + -2 = -14
-14 + 4x + -4x = 3(3x + -4) + -5(x + -1) + 9

Combine like terms: 4x + -4x = 0
-14 + 0 = 3(3x + -4) + -5(x + -1) + 9
-14 = 3(3x + -4) + -5(x + -1) + 9

Reorder the terms:
-14 = 3(-4 + 3x) + -5(x + -1) + 9
-14 = (-4 * 3 + 3x * 3) + -5(x + -1) + 9
-14 = (-12 + 9x) + -5(x + -1) + 9

Reorder the terms:
-14 = -12 + 9x + -5(-1 + x) + 9
-14 = -12 + 9x + (-1 * -5 + x * -5) + 9
-14 = -12 + 9x + (5 + -5x) + 9

Reorder the terms:
-14 = -12 + 5 + 9 + 9x + -5x

Combine like terms: -12 + 5 = -7
-14 = -7 + 9 + 9x + -5x

Combine like terms: -7 + 9 = 2
-14 = 2 + 9x + -5x

Combine like terms: 9x + -5x = 4x
-14 = 2 + 4x

Solving
-14 = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-14 + -4x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + -4x = 2 + 0
-14 + -4x = 2

Add '14' to each side of the equation.
-14 + 14 + -4x = 2 + 14

Combine like terms: -14 + 14 = 0
0 + -4x = 2 + 14
-4x = 2 + 14

Combine like terms: 2 + 14 = 16
-4x = 16

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

Simplifying
x = -4

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