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

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


Simplifying
2(3x + -5) = -2 + -1(x + 4)

Reorder the terms:
2(-5 + 3x) = -2 + -1(x + 4)
(-5 * 2 + 3x * 2) = -2 + -1(x + 4)
(-10 + 6x) = -2 + -1(x + 4)

Reorder the terms:
-10 + 6x = -2 + -1(4 + x)
-10 + 6x = -2 + (4 * -1 + x * -1)
-10 + 6x = -2 + (-4 + -1x)

Combine like terms: -2 + -4 = -6
-10 + 6x = -6 + -1x

Solving
-10 + 6x = -6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-10 + 6x + x = -6 + -1x + x

Combine like terms: 6x + x = 7x
-10 + 7x = -6 + -1x + x

Combine like terms: -1x + x = 0
-10 + 7x = -6 + 0
-10 + 7x = -6

Add '10' to each side of the equation.
-10 + 10 + 7x = -6 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = -6 + 10
7x = -6 + 10

Combine like terms: -6 + 10 = 4
7x = 4

Divide each side by '7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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