x-3(5x-4)+2(6+x)14=0

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Solution for x-3(5x-4)+2(6+x)14=0 equation:


Simplifying
x + -3(5x + -4) + 2(6 + x) * 14 = 0

Reorder the terms:
x + -3(-4 + 5x) + 2(6 + x) * 14 = 0
x + (-4 * -3 + 5x * -3) + 2(6 + x) * 14 = 0
x + (12 + -15x) + 2(6 + x) * 14 = 0

Reorder the terms for easier multiplication:
x + 12 + -15x + 2 * 14(6 + x) = 0

Multiply 2 * 14
x + 12 + -15x + 28(6 + x) = 0
x + 12 + -15x + (6 * 28 + x * 28) = 0
x + 12 + -15x + (168 + 28x) = 0

Reorder the terms:
12 + 168 + x + -15x + 28x = 0

Combine like terms: 12 + 168 = 180
180 + x + -15x + 28x = 0

Combine like terms: x + -15x = -14x
180 + -14x + 28x = 0

Combine like terms: -14x + 28x = 14x
180 + 14x = 0

Solving
180 + 14x = 0

Solving for variable 'x'.

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

Add '-180' to each side of the equation.
180 + -180 + 14x = 0 + -180

Combine like terms: 180 + -180 = 0
0 + 14x = 0 + -180
14x = 0 + -180

Combine like terms: 0 + -180 = -180
14x = -180

Divide each side by '14'.
x = -12.85714286

Simplifying
x = -12.85714286

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