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

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


Simplifying
4 + -3[2(x + -2) + 3] = x

Reorder the terms:
4 + -3[2(-2 + x) + 3] = x
4 + -3[(-2 * 2 + x * 2) + 3] = x
4 + -3[(-4 + 2x) + 3] = x

Reorder the terms:
4 + -3[-4 + 3 + 2x] = x

Combine like terms: -4 + 3 = -1
4 + -3[-1 + 2x] = x
4 + [-1 * -3 + 2x * -3] = x
4 + [3 + -6x] = x

Combine like terms: 4 + 3 = 7
7 + -6x = x

Solving
7 + -6x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7 + -6x + -1x = x + -1x

Combine like terms: -6x + -1x = -7x
7 + -7x = x + -1x

Combine like terms: x + -1x = 0
7 + -7x = 0

Add '-7' to each side of the equation.
7 + -7 + -7x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -7x = 0 + -7
-7x = 0 + -7

Combine like terms: 0 + -7 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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