4(2x-1)-2(x+4)=-3(x+3)+6(x-2)

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Solution for 4(2x-1)-2(x+4)=-3(x+3)+6(x-2) equation:


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

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

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

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

Combine like terms: -4 + -8 = -12
-12 + 8x + -2x = -3(x + 3) + 6(x + -2)

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

Reorder the terms:
-12 + 6x = -3(3 + x) + 6(x + -2)
-12 + 6x = (3 * -3 + x * -3) + 6(x + -2)
-12 + 6x = (-9 + -3x) + 6(x + -2)

Reorder the terms:
-12 + 6x = -9 + -3x + 6(-2 + x)
-12 + 6x = -9 + -3x + (-2 * 6 + x * 6)
-12 + 6x = -9 + -3x + (-12 + 6x)

Reorder the terms:
-12 + 6x = -9 + -12 + -3x + 6x

Combine like terms: -9 + -12 = -21
-12 + 6x = -21 + -3x + 6x

Combine like terms: -3x + 6x = 3x
-12 + 6x = -21 + 3x

Solving
-12 + 6x = -21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 6x + -3x = -21 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-12 + 3x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 3x = -21 + 0
-12 + 3x = -21

Add '12' to each side of the equation.
-12 + 12 + 3x = -21 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -21 + 12
3x = -21 + 12

Combine like terms: -21 + 12 = -9
3x = -9

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

Simplifying
x = -3

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