5(x-4)-(2-3x)=0

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Solution for 5(x-4)-(2-3x)=0 equation:


Simplifying
5(x + -4) + -1(2 + -3x) = 0

Reorder the terms:
5(-4 + x) + -1(2 + -3x) = 0
(-4 * 5 + x * 5) + -1(2 + -3x) = 0
(-20 + 5x) + -1(2 + -3x) = 0
-20 + 5x + (2 * -1 + -3x * -1) = 0
-20 + 5x + (-2 + 3x) = 0

Reorder the terms:
-20 + -2 + 5x + 3x = 0

Combine like terms: -20 + -2 = -22
-22 + 5x + 3x = 0

Combine like terms: 5x + 3x = 8x
-22 + 8x = 0

Solving
-22 + 8x = 0

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 + 8x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 8x = 0 + 22
8x = 0 + 22

Combine like terms: 0 + 22 = 22
8x = 22

Divide each side by '8'.
x = 2.75

Simplifying
x = 2.75

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