x+1+5+10=5x-10+2+4+6

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Solution for x+1+5+10=5x-10+2+4+6 equation:


Simplifying
x + 1 + 5 + 10 = 5x + -10 + 2 + 4 + 6

Reorder the terms:
1 + 5 + 10 + x = 5x + -10 + 2 + 4 + 6

Combine like terms: 1 + 5 = 6
6 + 10 + x = 5x + -10 + 2 + 4 + 6

Combine like terms: 6 + 10 = 16
16 + x = 5x + -10 + 2 + 4 + 6

Reorder the terms:
16 + x = -10 + 2 + 4 + 6 + 5x

Combine like terms: -10 + 2 = -8
16 + x = -8 + 4 + 6 + 5x

Combine like terms: -8 + 4 = -4
16 + x = -4 + 6 + 5x

Combine like terms: -4 + 6 = 2
16 + x = 2 + 5x

Solving
16 + x = 2 + 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.
16 + x + -5x = 2 + 5x + -5x

Combine like terms: x + -5x = -4x
16 + -4x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -4x = 2 + 0
16 + -4x = 2

Add '-16' to each side of the equation.
16 + -16 + -4x = 2 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = 2 + -16
-4x = 2 + -16

Combine like terms: 2 + -16 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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