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

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


Simplifying
3x + 5(5 + -1x) = 2x + 2
3x + (5 * 5 + -1x * 5) = 2x + 2
3x + (25 + -5x) = 2x + 2

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

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

Reorder the terms:
25 + -2x = 2 + 2x

Solving
25 + -2x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
25 + -2x + -2x = 2 + 2x + -2x

Combine like terms: -2x + -2x = -4x
25 + -4x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
25 + -4x = 2 + 0
25 + -4x = 2

Add '-25' to each side of the equation.
25 + -25 + -4x = 2 + -25

Combine like terms: 25 + -25 = 0
0 + -4x = 2 + -25
-4x = 2 + -25

Combine like terms: 2 + -25 = -23
-4x = -23

Divide each side by '-4'.
x = 5.75

Simplifying
x = 5.75

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