5-(6-x)=3x-7

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Solution for 5-(6-x)=3x-7 equation:


Simplifying
5 + -1(6 + -1x) = 3x + -7
5 + (6 * -1 + -1x * -1) = 3x + -7
5 + (-6 + 1x) = 3x + -7

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

Reorder the terms:
-1 + 1x = -7 + 3x

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

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + 1x + -3x = -7 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-1 + -2x = -7 + 0
-1 + -2x = -7

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

Combine like terms: -1 + 1 = 0
0 + -2x = -7 + 1
-2x = -7 + 1

Combine like terms: -7 + 1 = -6
-2x = -6

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

Simplifying
x = 3

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