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

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


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

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

Reorder the terms:
-15 + 6x + -4(2 + 3x) = 2 + -2(x + 2)
-15 + 6x + (2 * -4 + 3x * -4) = 2 + -2(x + 2)
-15 + 6x + (-8 + -12x) = 2 + -2(x + 2)

Reorder the terms:
-15 + -8 + 6x + -12x = 2 + -2(x + 2)

Combine like terms: -15 + -8 = -23
-23 + 6x + -12x = 2 + -2(x + 2)

Combine like terms: 6x + -12x = -6x
-23 + -6x = 2 + -2(x + 2)

Reorder the terms:
-23 + -6x = 2 + -2(2 + x)
-23 + -6x = 2 + (2 * -2 + x * -2)
-23 + -6x = 2 + (-4 + -2x)

Combine like terms: 2 + -4 = -2
-23 + -6x = -2 + -2x

Solving
-23 + -6x = -2 + -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.
-23 + -6x + 2x = -2 + -2x + 2x

Combine like terms: -6x + 2x = -4x
-23 + -4x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-23 + -4x = -2 + 0
-23 + -4x = -2

Add '23' to each side of the equation.
-23 + 23 + -4x = -2 + 23

Combine like terms: -23 + 23 = 0
0 + -4x = -2 + 23
-4x = -2 + 23

Combine like terms: -2 + 23 = 21
-4x = 21

Divide each side by '-4'.
x = -5.25

Simplifying
x = -5.25

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