2x-(3-7x)+4(3-x)=7x-3(x-1)

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Solution for 2x-(3-7x)+4(3-x)=7x-3(x-1) equation:


Simplifying
2x + -1(3 + -7x) + 4(3 + -1x) = 7x + -3(x + -1)
2x + (3 * -1 + -7x * -1) + 4(3 + -1x) = 7x + -3(x + -1)
2x + (-3 + 7x) + 4(3 + -1x) = 7x + -3(x + -1)
2x + -3 + 7x + (3 * 4 + -1x * 4) = 7x + -3(x + -1)
2x + -3 + 7x + (12 + -4x) = 7x + -3(x + -1)

Reorder the terms:
-3 + 12 + 2x + 7x + -4x = 7x + -3(x + -1)

Combine like terms: -3 + 12 = 9
9 + 2x + 7x + -4x = 7x + -3(x + -1)

Combine like terms: 2x + 7x = 9x
9 + 9x + -4x = 7x + -3(x + -1)

Combine like terms: 9x + -4x = 5x
9 + 5x = 7x + -3(x + -1)

Reorder the terms:
9 + 5x = 7x + -3(-1 + x)
9 + 5x = 7x + (-1 * -3 + x * -3)
9 + 5x = 7x + (3 + -3x)

Reorder the terms:
9 + 5x = 3 + 7x + -3x

Combine like terms: 7x + -3x = 4x
9 + 5x = 3 + 4x

Solving
9 + 5x = 3 + 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.
9 + 5x + -4x = 3 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
9 + 1x = 3 + 0
9 + 1x = 3

Add '-9' to each side of the equation.
9 + -9 + 1x = 3 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 3 + -9
1x = 3 + -9

Combine like terms: 3 + -9 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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