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 = 156
156 + x + 15x + 28x = 0

Combine like terms: x + 15x = 16x
156 + 16x + 28x = 0

Combine like terms: 16x + 28x = 44x
156 + 44x = 0

Solving
156 + 44x = 0

Solving for variable 'x'.

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

Add '-156' to each side of the equation.
156 + -156 + 44x = 0 + -156

Combine like terms: 156 + -156 = 0
0 + 44x = 0 + -156
44x = 0 + -156

Combine like terms: 0 + -156 = -156
44x = -156

Divide each side by '44'.
x = -3.545454545

Simplifying
x = -3.545454545

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