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

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


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

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

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

Combine like terms: -20 + 2 = -18
5 = -18 + 4x + -3x

Combine like terms: 4x + -3x = 1x
5 = -18 + 1x

Solving
5 = -18 + 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.
5 + -1x = -18 + 1x + -1x

Combine like terms: 1x + -1x = 0
5 + -1x = -18 + 0
5 + -1x = -18

Add '-5' to each side of the equation.
5 + -5 + -1x = -18 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -18 + -5
-1x = -18 + -5

Combine like terms: -18 + -5 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23

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