2(3x+5)-4(x-5)=2

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


Simplifying
2(3x + 5) + -4(x + -5) = 2

Reorder the terms:
2(5 + 3x) + -4(x + -5) = 2
(5 * 2 + 3x * 2) + -4(x + -5) = 2
(10 + 6x) + -4(x + -5) = 2

Reorder the terms:
10 + 6x + -4(-5 + x) = 2
10 + 6x + (-5 * -4 + x * -4) = 2
10 + 6x + (20 + -4x) = 2

Reorder the terms:
10 + 20 + 6x + -4x = 2

Combine like terms: 10 + 20 = 30
30 + 6x + -4x = 2

Combine like terms: 6x + -4x = 2x
30 + 2x = 2

Solving
30 + 2x = 2

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 2x = 2 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = 2 + -30
2x = 2 + -30

Combine like terms: 2 + -30 = -28
2x = -28

Divide each side by '2'.
x = -14

Simplifying
x = -14

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