4(2x-5)-(3x+2)=(6x-12)+3(5x+2)

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Solution for 4(2x-5)-(3x+2)=(6x-12)+3(5x+2) equation:


Simplifying
4(2x + -5) + -1(3x + 2) = (6x + -12) + 3(5x + 2)

Reorder the terms:
4(-5 + 2x) + -1(3x + 2) = (6x + -12) + 3(5x + 2)
(-5 * 4 + 2x * 4) + -1(3x + 2) = (6x + -12) + 3(5x + 2)
(-20 + 8x) + -1(3x + 2) = (6x + -12) + 3(5x + 2)

Reorder the terms:
-20 + 8x + -1(2 + 3x) = (6x + -12) + 3(5x + 2)
-20 + 8x + (2 * -1 + 3x * -1) = (6x + -12) + 3(5x + 2)
-20 + 8x + (-2 + -3x) = (6x + -12) + 3(5x + 2)

Reorder the terms:
-20 + -2 + 8x + -3x = (6x + -12) + 3(5x + 2)

Combine like terms: -20 + -2 = -22
-22 + 8x + -3x = (6x + -12) + 3(5x + 2)

Combine like terms: 8x + -3x = 5x
-22 + 5x = (6x + -12) + 3(5x + 2)

Reorder the terms:
-22 + 5x = (-12 + 6x) + 3(5x + 2)

Remove parenthesis around (-12 + 6x)
-22 + 5x = -12 + 6x + 3(5x + 2)

Reorder the terms:
-22 + 5x = -12 + 6x + 3(2 + 5x)
-22 + 5x = -12 + 6x + (2 * 3 + 5x * 3)
-22 + 5x = -12 + 6x + (6 + 15x)

Reorder the terms:
-22 + 5x = -12 + 6 + 6x + 15x

Combine like terms: -12 + 6 = -6
-22 + 5x = -6 + 6x + 15x

Combine like terms: 6x + 15x = 21x
-22 + 5x = -6 + 21x

Solving
-22 + 5x = -6 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-22 + 5x + -21x = -6 + 21x + -21x

Combine like terms: 5x + -21x = -16x
-22 + -16x = -6 + 21x + -21x

Combine like terms: 21x + -21x = 0
-22 + -16x = -6 + 0
-22 + -16x = -6

Add '22' to each side of the equation.
-22 + 22 + -16x = -6 + 22

Combine like terms: -22 + 22 = 0
0 + -16x = -6 + 22
-16x = -6 + 22

Combine like terms: -6 + 22 = 16
-16x = 16

Divide each side by '-16'.
x = -1

Simplifying
x = -1

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