3x-5(x+4)=-(x-7)

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Solution for 3x-5(x+4)=-(x-7) equation:


Simplifying
3x + -5(x + 4) = -1(x + -7)

Reorder the terms:
3x + -5(4 + x) = -1(x + -7)
3x + (4 * -5 + x * -5) = -1(x + -7)
3x + (-20 + -5x) = -1(x + -7)

Reorder the terms:
-20 + 3x + -5x = -1(x + -7)

Combine like terms: 3x + -5x = -2x
-20 + -2x = -1(x + -7)

Reorder the terms:
-20 + -2x = -1(-7 + x)
-20 + -2x = (-7 * -1 + x * -1)
-20 + -2x = (7 + -1x)

Solving
-20 + -2x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-20 + -2x + x = 7 + -1x + x

Combine like terms: -2x + x = -1x
-20 + -1x = 7 + -1x + x

Combine like terms: -1x + x = 0
-20 + -1x = 7 + 0
-20 + -1x = 7

Add '20' to each side of the equation.
-20 + 20 + -1x = 7 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = 7 + 20
-1x = 7 + 20

Combine like terms: 7 + 20 = 27
-1x = 27

Divide each side by '-1'.
x = -27

Simplifying
x = -27

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