3-(x-5)=7(x+2)

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Solution for 3-(x-5)=7(x+2) equation:


Simplifying
3 + -1(x + -5) = 7(x + 2)

Reorder the terms:
3 + -1(-5 + x) = 7(x + 2)
3 + (-5 * -1 + x * -1) = 7(x + 2)
3 + (5 + -1x) = 7(x + 2)

Combine like terms: 3 + 5 = 8
8 + -1x = 7(x + 2)

Reorder the terms:
8 + -1x = 7(2 + x)
8 + -1x = (2 * 7 + x * 7)
8 + -1x = (14 + 7x)

Solving
8 + -1x = 14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + -1x + -7x = 14 + 7x + -7x

Combine like terms: -1x + -7x = -8x
8 + -8x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -8x = 14 + 0
8 + -8x = 14

Add '-8' to each side of the equation.
8 + -8 + -8x = 14 + -8

Combine like terms: 8 + -8 = 0
0 + -8x = 14 + -8
-8x = 14 + -8

Combine like terms: 14 + -8 = 6
-8x = 6

Divide each side by '-8'.
x = -0.75

Simplifying
x = -0.75

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