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

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


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

Reorder the terms:
2(4 + 2x) + -1(x + -3) + 3 + -5x = -3
(4 * 2 + 2x * 2) + -1(x + -3) + 3 + -5x = -3
(8 + 4x) + -1(x + -3) + 3 + -5x = -3

Reorder the terms:
8 + 4x + -1(-3 + x) + 3 + -5x = -3
8 + 4x + (-3 * -1 + x * -1) + 3 + -5x = -3
8 + 4x + (3 + -1x) + 3 + -5x = -3

Reorder the terms:
8 + 3 + 3 + 4x + -1x + -5x = -3

Combine like terms: 8 + 3 = 11
11 + 3 + 4x + -1x + -5x = -3

Combine like terms: 11 + 3 = 14
14 + 4x + -1x + -5x = -3

Combine like terms: 4x + -1x = 3x
14 + 3x + -5x = -3

Combine like terms: 3x + -5x = -2x
14 + -2x = -3

Solving
14 + -2x = -3

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -2x = -3 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = -3 + -14
-2x = -3 + -14

Combine like terms: -3 + -14 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5

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