6(7x+3)-7(x-4)=46

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Solution for 6(7x+3)-7(x-4)=46 equation: 


Simplifying
6(7x + 3) + -7(x + -4) = 46

Reorder the terms:
6(3 + 7x) + -7(x + -4) = 46
(3 * 6 + 7x * 6) + -7(x + -4) = 46
(18 + 42x) + -7(x + -4) = 46

Reorder the terms:
18 + 42x + -7(-4 + x) = 46
18 + 42x + (-4 * -7 + x * -7) = 46
18 + 42x + (28 + -7x) = 46

Reorder the terms:
18 + 28 + 42x + -7x = 46

Combine like terms: 18 + 28 = 46
46 + 42x + -7x = 46

Combine like terms: 42x + -7x = 35x
46 + 35x = 46

Add '-46' to each side of the equation.
46 + -46 + 35x = 46 + -46

Combine like terms: 46 + -46 = 0
0 + 35x = 46 + -46
35x = 46 + -46

Combine like terms: 46 + -46 = 0
35x = 0

Solving
35x = 0

Solving for variable 'x'.

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

Divide each side by '35'.
x = 0

Simplifying
x = 0

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