14+5x=3(-x+4)-11

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Solution for 14+5x=3(-x+4)-11 equation:


Simplifying
14 + 5x = 3(-1x + 4) + -11

Reorder the terms:
14 + 5x = 3(4 + -1x) + -11
14 + 5x = (4 * 3 + -1x * 3) + -11
14 + 5x = (12 + -3x) + -11

Reorder the terms:
14 + 5x = 12 + -11 + -3x

Combine like terms: 12 + -11 = 1
14 + 5x = 1 + -3x

Solving
14 + 5x = 1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
14 + 5x + 3x = 1 + -3x + 3x

Combine like terms: 5x + 3x = 8x
14 + 8x = 1 + -3x + 3x

Combine like terms: -3x + 3x = 0
14 + 8x = 1 + 0
14 + 8x = 1

Add '-14' to each side of the equation.
14 + -14 + 8x = 1 + -14

Combine like terms: 14 + -14 = 0
0 + 8x = 1 + -14
8x = 1 + -14

Combine like terms: 1 + -14 = -13
8x = -13

Divide each side by '8'.
x = -1.625

Simplifying
x = -1.625

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