20+5(1-x)=2x-3(x-2)

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Solution for 20+5(1-x)=2x-3(x-2) equation:


Simplifying
20 + 5(1 + -1x) = 2x + -3(x + -2)
20 + (1 * 5 + -1x * 5) = 2x + -3(x + -2)
20 + (5 + -5x) = 2x + -3(x + -2)

Combine like terms: 20 + 5 = 25
25 + -5x = 2x + -3(x + -2)

Reorder the terms:
25 + -5x = 2x + -3(-2 + x)
25 + -5x = 2x + (-2 * -3 + x * -3)
25 + -5x = 2x + (6 + -3x)

Reorder the terms:
25 + -5x = 6 + 2x + -3x

Combine like terms: 2x + -3x = -1x
25 + -5x = 6 + -1x

Solving
25 + -5x = 6 + -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.
25 + -5x + x = 6 + -1x + x

Combine like terms: -5x + x = -4x
25 + -4x = 6 + -1x + x

Combine like terms: -1x + x = 0
25 + -4x = 6 + 0
25 + -4x = 6

Add '-25' to each side of the equation.
25 + -25 + -4x = 6 + -25

Combine like terms: 25 + -25 = 0
0 + -4x = 6 + -25
-4x = 6 + -25

Combine like terms: 6 + -25 = -19
-4x = -19

Divide each side by '-4'.
x = 4.75

Simplifying
x = 4.75

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