5x-42=2(x-5)+1

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Solution for 5x-42=2(x-5)+1 equation:


Simplifying
5x + -42 = 2(x + -5) + 1

Reorder the terms:
-42 + 5x = 2(x + -5) + 1

Reorder the terms:
-42 + 5x = 2(-5 + x) + 1
-42 + 5x = (-5 * 2 + x * 2) + 1
-42 + 5x = (-10 + 2x) + 1

Reorder the terms:
-42 + 5x = -10 + 1 + 2x

Combine like terms: -10 + 1 = -9
-42 + 5x = -9 + 2x

Solving
-42 + 5x = -9 + 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.
-42 + 5x + -2x = -9 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-42 + 3x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-42 + 3x = -9 + 0
-42 + 3x = -9

Add '42' to each side of the equation.
-42 + 42 + 3x = -9 + 42

Combine like terms: -42 + 42 = 0
0 + 3x = -9 + 42
3x = -9 + 42

Combine like terms: -9 + 42 = 33
3x = 33

Divide each side by '3'.
x = 11

Simplifying
x = 11

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