6(6+7x)=2x+46

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Solution for 6(6+7x)=2x+46 equation: 


Simplifying
6(6 + 7x) = 2x + 46
(6 * 6 + 7x * 6) = 2x + 46
(36 + 42x) = 2x + 46

Reorder the terms:
36 + 42x = 46 + 2x

Solving
36 + 42x = 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.
36 + 42x + -2x = 46 + 2x + -2x

Combine like terms: 42x + -2x = 40x
36 + 40x = 46 + 2x + -2x

Combine like terms: 2x + -2x = 0
36 + 40x = 46 + 0
36 + 40x = 46

Add '-36' to each side of the equation.
36 + -36 + 40x = 46 + -36

Combine like terms: 36 + -36 = 0
0 + 40x = 46 + -36
40x = 46 + -36

Combine like terms: 46 + -36 = 10
40x = 10

Divide each side by '40'.
x = 0.25

Simplifying
x = 0.25

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