5-(2x-6)=4(3-x)-3

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Solution for 5-(2x-6)=4(3-x)-3 equation:


Simplifying
5 + -1(2x + -6) = 4(3 + -1x) + -3

Reorder the terms:
5 + -1(-6 + 2x) = 4(3 + -1x) + -3
5 + (-6 * -1 + 2x * -1) = 4(3 + -1x) + -3
5 + (6 + -2x) = 4(3 + -1x) + -3

Combine like terms: 5 + 6 = 11
11 + -2x = 4(3 + -1x) + -3
11 + -2x = (3 * 4 + -1x * 4) + -3
11 + -2x = (12 + -4x) + -3

Reorder the terms:
11 + -2x = 12 + -3 + -4x

Combine like terms: 12 + -3 = 9
11 + -2x = 9 + -4x

Solving
11 + -2x = 9 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
11 + -2x + 4x = 9 + -4x + 4x

Combine like terms: -2x + 4x = 2x
11 + 2x = 9 + -4x + 4x

Combine like terms: -4x + 4x = 0
11 + 2x = 9 + 0
11 + 2x = 9

Add '-11' to each side of the equation.
11 + -11 + 2x = 9 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 9 + -11
2x = 9 + -11

Combine like terms: 9 + -11 = -2
2x = -2

Divide each side by '2'.
x = -1

Simplifying
x = -1

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