2x+10=2(-x+5)+1

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Solution for 2x+10=2(-x+5)+1 equation:


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

Reorder the terms:
10 + 2x = 2(-1x + 5) + 1

Reorder the terms:
10 + 2x = 2(5 + -1x) + 1
10 + 2x = (5 * 2 + -1x * 2) + 1
10 + 2x = (10 + -2x) + 1

Reorder the terms:
10 + 2x = 10 + 1 + -2x

Combine like terms: 10 + 1 = 11
10 + 2x = 11 + -2x

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

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

Combine like terms: -2x + 2x = 0
10 + 4x = 11 + 0
10 + 4x = 11

Add '-10' to each side of the equation.
10 + -10 + 4x = 11 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 11 + -10
4x = 11 + -10

Combine like terms: 11 + -10 = 1
4x = 1

Divide each side by '4'.
x = 0.25

Simplifying
x = 0.25

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