3x+2[x+7]-5=4[x+3]-3[x+1]

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Solution for 3x+2[x+7]-5=4[x+3]-3[x+1] equation:


Simplifying
3x + 2[x + 7] + -5 = 4[x + 3] + -3[x + 1]

Reorder the terms:
3x + 2[7 + x] + -5 = 4[x + 3] + -3[x + 1]
3x + [7 * 2 + x * 2] + -5 = 4[x + 3] + -3[x + 1]
3x + [14 + 2x] + -5 = 4[x + 3] + -3[x + 1]

Reorder the terms:
14 + -5 + 3x + 2x = 4[x + 3] + -3[x + 1]

Combine like terms: 14 + -5 = 9
9 + 3x + 2x = 4[x + 3] + -3[x + 1]

Combine like terms: 3x + 2x = 5x
9 + 5x = 4[x + 3] + -3[x + 1]

Reorder the terms:
9 + 5x = 4[3 + x] + -3[x + 1]
9 + 5x = [3 * 4 + x * 4] + -3[x + 1]
9 + 5x = [12 + 4x] + -3[x + 1]

Reorder the terms:
9 + 5x = 12 + 4x + -3[1 + x]
9 + 5x = 12 + 4x + [1 * -3 + x * -3]
9 + 5x = 12 + 4x + [-3 + -3x]

Reorder the terms:
9 + 5x = 12 + -3 + 4x + -3x

Combine like terms: 12 + -3 = 9
9 + 5x = 9 + 4x + -3x

Combine like terms: 4x + -3x = 1x
9 + 5x = 9 + 1x

Add '-9' to each side of the equation.
9 + -9 + 5x = 9 + -9 + 1x

Combine like terms: 9 + -9 = 0
0 + 5x = 9 + -9 + 1x
5x = 9 + -9 + 1x

Combine like terms: 9 + -9 = 0
5x = 0 + 1x
5x = 1x

Solving
5x = 1x

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.
5x + -1x = 1x + -1x

Combine like terms: 5x + -1x = 4x
4x = 1x + -1x

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

Divide each side by '4'.
x = 0

Simplifying
x = 0

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