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

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


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

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

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

Combine like terms: 2x + -1x = 1x
-4 + 1x = 2(x + -3) + -5

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

Reorder the terms:
-4 + 1x = -6 + -5 + 2x

Combine like terms: -6 + -5 = -11
-4 + 1x = -11 + 2x

Solving
-4 + 1x = -11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 1x + -2x = -11 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-4 + -1x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + -1x = -11 + 0
-4 + -1x = -11

Add '4' to each side of the equation.
-4 + 4 + -1x = -11 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -11 + 4
-1x = -11 + 4

Combine like terms: -11 + 4 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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