2(3x+5)=-8x+6

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Solution for 2(3x+5)=-8x+6 equation:


Simplifying
2(3x + 5) = -8x + 6

Reorder the terms:
2(5 + 3x) = -8x + 6
(5 * 2 + 3x * 2) = -8x + 6
(10 + 6x) = -8x + 6

Reorder the terms:
10 + 6x = 6 + -8x

Solving
10 + 6x = 6 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
10 + 6x + 8x = 6 + -8x + 8x

Combine like terms: 6x + 8x = 14x
10 + 14x = 6 + -8x + 8x

Combine like terms: -8x + 8x = 0
10 + 14x = 6 + 0
10 + 14x = 6

Add '-10' to each side of the equation.
10 + -10 + 14x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 14x = 6 + -10
14x = 6 + -10

Combine like terms: 6 + -10 = -4
14x = -4

Divide each side by '14'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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