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

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


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

Reorder the terms:
4(-5 + x) + 2 = -2(x + 3)
(-5 * 4 + x * 4) + 2 = -2(x + 3)
(-20 + 4x) + 2 = -2(x + 3)

Reorder the terms:
-20 + 2 + 4x = -2(x + 3)

Combine like terms: -20 + 2 = -18
-18 + 4x = -2(x + 3)

Reorder the terms:
-18 + 4x = -2(3 + x)
-18 + 4x = (3 * -2 + x * -2)
-18 + 4x = (-6 + -2x)

Solving
-18 + 4x = -6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-18 + 4x + 2x = -6 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-18 + 6x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 6x = -6 + 0
-18 + 6x = -6

Add '18' to each side of the equation.
-18 + 18 + 6x = -6 + 18

Combine like terms: -18 + 18 = 0
0 + 6x = -6 + 18
6x = -6 + 18

Combine like terms: -6 + 18 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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