5x-3=-(x-7)

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


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

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

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

Solving
-3 + 5x = 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.
-3 + 5x + x = 7 + -1x + x

Combine like terms: 5x + x = 6x
-3 + 6x = 7 + -1x + x

Combine like terms: -1x + x = 0
-3 + 6x = 7 + 0
-3 + 6x = 7

Add '3' to each side of the equation.
-3 + 3 + 6x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 7 + 3
6x = 7 + 3

Combine like terms: 7 + 3 = 10
6x = 10

Divide each side by '6'.
x = 1.666666667

Simplifying
x = 1.666666667

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