2[x-2(3-x)-3x]=4(5-x)

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


Simplifying
2[x + -2(3 + -1x) + -3x] = 4(5 + -1x)
2[x + (3 * -2 + -1x * -2) + -3x] = 4(5 + -1x)
2[x + (-6 + 2x) + -3x] = 4(5 + -1x)

Reorder the terms:
2[-6 + x + 2x + -3x] = 4(5 + -1x)

Combine like terms: x + 2x = 3x
2[-6 + 3x + -3x] = 4(5 + -1x)

Combine like terms: 3x + -3x = 0
2[-6 + 0] = 4(5 + -1x)
2[-6] = 4(5 + -1x)

Multiply 2 * -6
-12 = 4(5 + -1x)
-12 = (5 * 4 + -1x * 4)
-12 = (20 + -4x)

Solving
-12 = 20 + -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.
-12 + 4x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + 4x = 20 + 0
-12 + 4x = 20

Add '12' to each side of the equation.
-12 + 12 + 4x = 20 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 20 + 12
4x = 20 + 12

Combine like terms: 20 + 12 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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