(x-5)*2=2x*2-15x+31

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Solution for (x-5)*2=2x*2-15x+31 equation:


Simplifying
(x + -5) * 2 = 2x * 2 + -15x + 31

Reorder the terms:
(-5 + x) * 2 = 2x * 2 + -15x + 31

Reorder the terms for easier multiplication:
2(-5 + x) = 2x * 2 + -15x + 31
(-5 * 2 + x * 2) = 2x * 2 + -15x + 31
(-10 + 2x) = 2x * 2 + -15x + 31

Reorder the terms for easier multiplication:
-10 + 2x = 2 * 2x + -15x + 31

Multiply 2 * 2
-10 + 2x = 4x + -15x + 31

Reorder the terms:
-10 + 2x = 31 + 4x + -15x

Combine like terms: 4x + -15x = -11x
-10 + 2x = 31 + -11x

Solving
-10 + 2x = 31 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
-10 + 2x + 11x = 31 + -11x + 11x

Combine like terms: 2x + 11x = 13x
-10 + 13x = 31 + -11x + 11x

Combine like terms: -11x + 11x = 0
-10 + 13x = 31 + 0
-10 + 13x = 31

Add '10' to each side of the equation.
-10 + 10 + 13x = 31 + 10

Combine like terms: -10 + 10 = 0
0 + 13x = 31 + 10
13x = 31 + 10

Combine like terms: 31 + 10 = 41
13x = 41

Divide each side by '13'.
x = 3.153846154

Simplifying
x = 3.153846154

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