46=(4x+5)+(2x+3)

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


Simplifying
46 = (4x + 5) + (2x + 3)

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

Remove parenthesis around (5 + 4x)
46 = 5 + 4x + (2x + 3)

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

Remove parenthesis around (3 + 2x)
46 = 5 + 4x + 3 + 2x

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

Combine like terms: 5 + 3 = 8
46 = 8 + 4x + 2x

Combine like terms: 4x + 2x = 6x
46 = 8 + 6x

Solving
46 = 8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
46 + -6x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
46 + -6x = 8 + 0
46 + -6x = 8

Add '-46' to each side of the equation.
46 + -46 + -6x = 8 + -46

Combine like terms: 46 + -46 = 0
0 + -6x = 8 + -46
-6x = 8 + -46

Combine like terms: 8 + -46 = -38
-6x = -38

Divide each side by '-6'.
x = 6.333333333

Simplifying
x = 6.333333333

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