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

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


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

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

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

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

Combine like terms: -4 + 4 = 0
0 + 1x + -1x = 2(x + 3)
1x + -1x = 2(x + 3)

Combine like terms: 1x + -1x = 0
0 = 2(x + 3)

Reorder the terms:
0 = 2(3 + x)
0 = (3 * 2 + x * 2)
0 = (6 + 2x)

Solving
0 = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
0 + -2x = 6 + 2x + -2x
Remove the zero:
-2x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2x = 6 + 0
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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