5(x-10)+1=2(x-25)+x+1

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Solution for 5(x-10)+1=2(x-25)+x+1 equation:


Simplifying
5(x + -10) + 1 = 2(x + -25) + x + 1

Reorder the terms:
5(-10 + x) + 1 = 2(x + -25) + x + 1
(-10 * 5 + x * 5) + 1 = 2(x + -25) + x + 1
(-50 + 5x) + 1 = 2(x + -25) + x + 1

Reorder the terms:
-50 + 1 + 5x = 2(x + -25) + x + 1

Combine like terms: -50 + 1 = -49
-49 + 5x = 2(x + -25) + x + 1

Reorder the terms:
-49 + 5x = 2(-25 + x) + x + 1
-49 + 5x = (-25 * 2 + x * 2) + x + 1
-49 + 5x = (-50 + 2x) + x + 1

Reorder the terms:
-49 + 5x = -50 + 1 + 2x + x

Combine like terms: -50 + 1 = -49
-49 + 5x = -49 + 2x + x

Combine like terms: 2x + x = 3x
-49 + 5x = -49 + 3x

Add '49' to each side of the equation.
-49 + 49 + 5x = -49 + 49 + 3x

Combine like terms: -49 + 49 = 0
0 + 5x = -49 + 49 + 3x
5x = -49 + 49 + 3x

Combine like terms: -49 + 49 = 0
5x = 0 + 3x
5x = 3x

Solving
5x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5x + -3x = 3x + -3x

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

Combine like terms: 3x + -3x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0

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