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

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


Simplifying
2(5 + -1x) + 4 = -4(x + -3) + -3
(5 * 2 + -1x * 2) + 4 = -4(x + -3) + -3
(10 + -2x) + 4 = -4(x + -3) + -3

Reorder the terms:
10 + 4 + -2x = -4(x + -3) + -3

Combine like terms: 10 + 4 = 14
14 + -2x = -4(x + -3) + -3

Reorder the terms:
14 + -2x = -4(-3 + x) + -3
14 + -2x = (-3 * -4 + x * -4) + -3
14 + -2x = (12 + -4x) + -3

Reorder the terms:
14 + -2x = 12 + -3 + -4x

Combine like terms: 12 + -3 = 9
14 + -2x = 9 + -4x

Solving
14 + -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.
14 + -2x + 4x = 9 + -4x + 4x

Combine like terms: -2x + 4x = 2x
14 + 2x = 9 + -4x + 4x

Combine like terms: -4x + 4x = 0
14 + 2x = 9 + 0
14 + 2x = 9

Add '-14' to each side of the equation.
14 + -14 + 2x = 9 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = 9 + -14
2x = 9 + -14

Combine like terms: 9 + -14 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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