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

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


Simplifying
2x + -7(7x + 6) = 6(x + 6) + -6

Reorder the terms:
2x + -7(6 + 7x) = 6(x + 6) + -6
2x + (6 * -7 + 7x * -7) = 6(x + 6) + -6
2x + (-42 + -49x) = 6(x + 6) + -6

Reorder the terms:
-42 + 2x + -49x = 6(x + 6) + -6

Combine like terms: 2x + -49x = -47x
-42 + -47x = 6(x + 6) + -6

Reorder the terms:
-42 + -47x = 6(6 + x) + -6
-42 + -47x = (6 * 6 + x * 6) + -6
-42 + -47x = (36 + 6x) + -6

Reorder the terms:
-42 + -47x = 36 + -6 + 6x

Combine like terms: 36 + -6 = 30
-42 + -47x = 30 + 6x

Solving
-42 + -47x = 30 + 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.
-42 + -47x + -6x = 30 + 6x + -6x

Combine like terms: -47x + -6x = -53x
-42 + -53x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-42 + -53x = 30 + 0
-42 + -53x = 30

Add '42' to each side of the equation.
-42 + 42 + -53x = 30 + 42

Combine like terms: -42 + 42 = 0
0 + -53x = 30 + 42
-53x = 30 + 42

Combine like terms: 30 + 42 = 72
-53x = 72

Divide each side by '-53'.
x = -1.358490566

Simplifying
x = -1.358490566

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