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

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


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

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

Reorder the terms:
8 + 4x + -3(5 + x) + -2(2 + -1x) = 4
8 + 4x + (5 * -3 + x * -3) + -2(2 + -1x) = 4
8 + 4x + (-15 + -3x) + -2(2 + -1x) = 4
8 + 4x + -15 + -3x + (2 * -2 + -1x * -2) = 4
8 + 4x + -15 + -3x + (-4 + 2x) = 4

Reorder the terms:
8 + -15 + -4 + 4x + -3x + 2x = 4

Combine like terms: 8 + -15 = -7
-7 + -4 + 4x + -3x + 2x = 4

Combine like terms: -7 + -4 = -11
-11 + 4x + -3x + 2x = 4

Combine like terms: 4x + -3x = 1x
-11 + 1x + 2x = 4

Combine like terms: 1x + 2x = 3x
-11 + 3x = 4

Solving
-11 + 3x = 4

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 3x = 4 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 4 + 11
3x = 4 + 11

Combine like terms: 4 + 11 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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