7x+6(3+4)=12x+7

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Solution for 7x+6(3+4)=12x+7 equation:


Simplifying
7x + 6(3 + 4) = 12x + 7

Combine like terms: 3 + 4 = 7
7x + 6(7) = 12x + 7

Multiply 6 * 7
7x + 42 = 12x + 7

Reorder the terms:
42 + 7x = 12x + 7

Reorder the terms:
42 + 7x = 7 + 12x

Solving
42 + 7x = 7 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
42 + 7x + -12x = 7 + 12x + -12x

Combine like terms: 7x + -12x = -5x
42 + -5x = 7 + 12x + -12x

Combine like terms: 12x + -12x = 0
42 + -5x = 7 + 0
42 + -5x = 7

Add '-42' to each side of the equation.
42 + -42 + -5x = 7 + -42

Combine like terms: 42 + -42 = 0
0 + -5x = 7 + -42
-5x = 7 + -42

Combine like terms: 7 + -42 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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