4(3x-2)-9x-14=4-2(-3x+4)

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Solution for 4(3x-2)-9x-14=4-2(-3x+4) equation:


Simplifying
4(3x + -2) + -9x + -14 = 4 + -2(-3x + 4)

Reorder the terms:
4(-2 + 3x) + -9x + -14 = 4 + -2(-3x + 4)
(-2 * 4 + 3x * 4) + -9x + -14 = 4 + -2(-3x + 4)
(-8 + 12x) + -9x + -14 = 4 + -2(-3x + 4)

Reorder the terms:
-8 + -14 + 12x + -9x = 4 + -2(-3x + 4)

Combine like terms: -8 + -14 = -22
-22 + 12x + -9x = 4 + -2(-3x + 4)

Combine like terms: 12x + -9x = 3x
-22 + 3x = 4 + -2(-3x + 4)

Reorder the terms:
-22 + 3x = 4 + -2(4 + -3x)
-22 + 3x = 4 + (4 * -2 + -3x * -2)
-22 + 3x = 4 + (-8 + 6x)

Combine like terms: 4 + -8 = -4
-22 + 3x = -4 + 6x

Solving
-22 + 3x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-22 + 3x + -6x = -4 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-22 + -3x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-22 + -3x = -4 + 0
-22 + -3x = -4

Add '22' to each side of the equation.
-22 + 22 + -3x = -4 + 22

Combine like terms: -22 + 22 = 0
0 + -3x = -4 + 22
-3x = -4 + 22

Combine like terms: -4 + 22 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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