15-3x+4(x-4)=-x-14

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Solution for 15-3x+4(x-4)=-x-14 equation:


Simplifying
15 + -3x + 4(x + -4) = -1x + -14

Reorder the terms:
15 + -3x + 4(-4 + x) = -1x + -14
15 + -3x + (-4 * 4 + x * 4) = -1x + -14
15 + -3x + (-16 + 4x) = -1x + -14

Reorder the terms:
15 + -16 + -3x + 4x = -1x + -14

Combine like terms: 15 + -16 = -1
-1 + -3x + 4x = -1x + -14

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

Reorder the terms:
-1 + 1x = -14 + -1x

Solving
-1 + 1x = -14 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-1 + 1x + x = -14 + -1x + x

Combine like terms: 1x + x = 2x
-1 + 2x = -14 + -1x + x

Combine like terms: -1x + x = 0
-1 + 2x = -14 + 0
-1 + 2x = -14

Add '1' to each side of the equation.
-1 + 1 + 2x = -14 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = -14 + 1
2x = -14 + 1

Combine like terms: -14 + 1 = -13
2x = -13

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5

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