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

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


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

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

Reorder the terms:
-20 + 4x = 3(-2 + x) + -2(x + 2)
-20 + 4x = (-2 * 3 + x * 3) + -2(x + 2)
-20 + 4x = (-6 + 3x) + -2(x + 2)

Reorder the terms:
-20 + 4x = -6 + 3x + -2(2 + x)
-20 + 4x = -6 + 3x + (2 * -2 + x * -2)
-20 + 4x = -6 + 3x + (-4 + -2x)

Reorder the terms:
-20 + 4x = -6 + -4 + 3x + -2x

Combine like terms: -6 + -4 = -10
-20 + 4x = -10 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-20 + 4x = -10 + 1x

Solving
-20 + 4x = -10 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-20 + 4x + -1x = -10 + 1x + -1x

Combine like terms: 4x + -1x = 3x
-20 + 3x = -10 + 1x + -1x

Combine like terms: 1x + -1x = 0
-20 + 3x = -10 + 0
-20 + 3x = -10

Add '20' to each side of the equation.
-20 + 20 + 3x = -10 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = -10 + 20
3x = -10 + 20

Combine like terms: -10 + 20 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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