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

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


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

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

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

Reorder the terms:
-20 + 4x = 3 + -3 + -4 + -1x

Combine like terms: 3 + -3 = 0
-20 + 4x = 0 + -4 + -1x
-20 + 4x = -4 + -1x

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

Solving for variable 'x'.

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

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

Combine like terms: 4x + x = 5x
-20 + 5x = -4 + -1x + x

Combine like terms: -1x + x = 0
-20 + 5x = -4 + 0
-20 + 5x = -4

Add '20' to each side of the equation.
-20 + 20 + 5x = -4 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = -4 + 20
5x = -4 + 20

Combine like terms: -4 + 20 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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