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

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


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

Reorder the terms:
4(-5 + x) + -1(2 + 3x) = -2
(-5 * 4 + x * 4) + -1(2 + 3x) = -2
(-20 + 4x) + -1(2 + 3x) = -2
-20 + 4x + (2 * -1 + 3x * -1) = -2
-20 + 4x + (-2 + -3x) = -2

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

Combine like terms: -20 + -2 = -22
-22 + 4x + -3x = -2

Combine like terms: 4x + -3x = 1x
-22 + 1x = -2

Solving
-22 + 1x = -2

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 1x = -2 + 22

Combine like terms: -22 + 22 = 0
0 + 1x = -2 + 22
1x = -2 + 22

Combine like terms: -2 + 22 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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