10(x+4)+x=10(2x-1)+x

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Solution for 10(x+4)+x=10(2x-1)+x equation: 


Simplifying
10(x + 4) + x = 10(2x + -1) + x

Reorder the terms:
10(4 + x) + x = 10(2x + -1) + x
(4 * 10 + x * 10) + x = 10(2x + -1) + x
(40 + 10x) + x = 10(2x + -1) + x

Combine like terms: 10x + x = 11x
40 + 11x = 10(2x + -1) + x

Reorder the terms:
40 + 11x = 10(-1 + 2x) + x
40 + 11x = (-1 * 10 + 2x * 10) + x
40 + 11x = (-10 + 20x) + x

Combine like terms: 20x + x = 21x
40 + 11x = -10 + 21x

Solving
40 + 11x = -10 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
40 + 11x + -21x = -10 + 21x + -21x

Combine like terms: 11x + -21x = -10x
40 + -10x = -10 + 21x + -21x

Combine like terms: 21x + -21x = 0
40 + -10x = -10 + 0
40 + -10x = -10

Add '-40' to each side of the equation.
40 + -40 + -10x = -10 + -40

Combine like terms: 40 + -40 = 0
0 + -10x = -10 + -40
-10x = -10 + -40

Combine like terms: -10 + -40 = -50
-10x = -50

Divide each side by '-10'.
x = 5

Simplifying
x = 5

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