3+5(6x+1)=-38+7x

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Solution for 3+5(6x+1)=-38+7x equation:


Simplifying
3 + 5(6x + 1) = -38 + 7x

Reorder the terms:
3 + 5(1 + 6x) = -38 + 7x
3 + (1 * 5 + 6x * 5) = -38 + 7x
3 + (5 + 30x) = -38 + 7x

Combine like terms: 3 + 5 = 8
8 + 30x = -38 + 7x

Solving
8 + 30x = -38 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + 30x + -7x = -38 + 7x + -7x

Combine like terms: 30x + -7x = 23x
8 + 23x = -38 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + 23x = -38 + 0
8 + 23x = -38

Add '-8' to each side of the equation.
8 + -8 + 23x = -38 + -8

Combine like terms: 8 + -8 = 0
0 + 23x = -38 + -8
23x = -38 + -8

Combine like terms: -38 + -8 = -46
23x = -46

Divide each side by '23'.
x = -2

Simplifying
x = -2

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