3x+4+5x+6=2x+46

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Solution for 3x+4+5x+6=2x+46 equation:


Simplifying
3x + 4 + 5x + 6 = 2x + 46

Reorder the terms:
4 + 6 + 3x + 5x = 2x + 46

Combine like terms: 4 + 6 = 10
10 + 3x + 5x = 2x + 46

Combine like terms: 3x + 5x = 8x
10 + 8x = 2x + 46

Reorder the terms:
10 + 8x = 46 + 2x

Solving
10 + 8x = 46 + 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.
10 + 8x + -2x = 46 + 2x + -2x

Combine like terms: 8x + -2x = 6x
10 + 6x = 46 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 6x = 46 + 0
10 + 6x = 46

Add '-10' to each side of the equation.
10 + -10 + 6x = 46 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 46 + -10
6x = 46 + -10

Combine like terms: 46 + -10 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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