4x-3(x+2)+7=2-3[x-4+7]

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Solution for 4x-3(x+2)+7=2-3[x-4+7] equation:


Simplifying
4x + -3(x + 2) + 7 = 2 + -3[x + -4 + 7]

Reorder the terms:
4x + -3(2 + x) + 7 = 2 + -3[x + -4 + 7]
4x + (2 * -3 + x * -3) + 7 = 2 + -3[x + -4 + 7]
4x + (-6 + -3x) + 7 = 2 + -3[x + -4 + 7]

Reorder the terms:
-6 + 7 + 4x + -3x = 2 + -3[x + -4 + 7]

Combine like terms: -6 + 7 = 1
1 + 4x + -3x = 2 + -3[x + -4 + 7]

Combine like terms: 4x + -3x = 1x
1 + 1x = 2 + -3[x + -4 + 7]

Reorder the terms:
1 + 1x = 2 + -3[-4 + 7 + x]

Combine like terms: -4 + 7 = 3
1 + 1x = 2 + -3[3 + x]
1 + 1x = 2 + [3 * -3 + x * -3]
1 + 1x = 2 + [-9 + -3x]

Combine like terms: 2 + -9 = -7
1 + 1x = -7 + -3x

Solving
1 + 1x = -7 + -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.
1 + 1x + 3x = -7 + -3x + 3x

Combine like terms: 1x + 3x = 4x
1 + 4x = -7 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 4x = -7 + 0
1 + 4x = -7

Add '-1' to each side of the equation.
1 + -1 + 4x = -7 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = -7 + -1
4x = -7 + -1

Combine like terms: -7 + -1 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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