2x+5x+10=x+4x+16

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Solution for 2x+5x+10=x+4x+16 equation:


Simplifying
2x + 5x + 10 = x + 4x + 16

Reorder the terms:
10 + 2x + 5x = x + 4x + 16

Combine like terms: 2x + 5x = 7x
10 + 7x = x + 4x + 16

Reorder the terms:
10 + 7x = 16 + x + 4x

Combine like terms: x + 4x = 5x
10 + 7x = 16 + 5x

Solving
10 + 7x = 16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + 7x + -5x = 16 + 5x + -5x

Combine like terms: 7x + -5x = 2x
10 + 2x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + 2x = 16 + 0
10 + 2x = 16

Add '-10' to each side of the equation.
10 + -10 + 2x = 16 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 16 + -10
2x = 16 + -10

Combine like terms: 16 + -10 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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