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

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


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

Reorder the terms:
4(-2 + x) + -1(3x + 2) = -5
(-2 * 4 + x * 4) + -1(3x + 2) = -5
(-8 + 4x) + -1(3x + 2) = -5

Reorder the terms:
-8 + 4x + -1(2 + 3x) = -5
-8 + 4x + (2 * -1 + 3x * -1) = -5
-8 + 4x + (-2 + -3x) = -5

Reorder the terms:
-8 + -2 + 4x + -3x = -5

Combine like terms: -8 + -2 = -10
-10 + 4x + -3x = -5

Combine like terms: 4x + -3x = 1x
-10 + 1x = -5

Solving
-10 + 1x = -5

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 1x = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -5 + 10
1x = -5 + 10

Combine like terms: -5 + 10 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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