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

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


Simplifying
2(5 + -1x) + -5x = 3 + -1(2 + x)
(5 * 2 + -1x * 2) + -5x = 3 + -1(2 + x)
(10 + -2x) + -5x = 3 + -1(2 + x)

Combine like terms: -2x + -5x = -7x
10 + -7x = 3 + -1(2 + x)
10 + -7x = 3 + (2 * -1 + x * -1)
10 + -7x = 3 + (-2 + -1x)

Combine like terms: 3 + -2 = 1
10 + -7x = 1 + -1x

Solving
10 + -7x = 1 + -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.
10 + -7x + x = 1 + -1x + x

Combine like terms: -7x + x = -6x
10 + -6x = 1 + -1x + x

Combine like terms: -1x + x = 0
10 + -6x = 1 + 0
10 + -6x = 1

Add '-10' to each side of the equation.
10 + -10 + -6x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = 1 + -10
-6x = 1 + -10

Combine like terms: 1 + -10 = -9
-6x = -9

Divide each side by '-6'.
x = 1.5

Simplifying
x = 1.5

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