3(7-3(x+1))+2(x+6(x-1))=7x

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Solution for 3(7-3(x+1))+2(x+6(x-1))=7x equation:


Simplifying
3(7 + -3(x + 1)) + 2(x + 6(x + -1)) = 7x

Reorder the terms:
3(7 + -3(1 + x)) + 2(x + 6(x + -1)) = 7x
3(7 + (1 * -3 + x * -3)) + 2(x + 6(x + -1)) = 7x
3(7 + (-3 + -3x)) + 2(x + 6(x + -1)) = 7x

Combine like terms: 7 + -3 = 4
3(4 + -3x) + 2(x + 6(x + -1)) = 7x
(4 * 3 + -3x * 3) + 2(x + 6(x + -1)) = 7x
(12 + -9x) + 2(x + 6(x + -1)) = 7x

Reorder the terms:
12 + -9x + 2(x + 6(-1 + x)) = 7x
12 + -9x + 2(x + (-1 * 6 + x * 6)) = 7x
12 + -9x + 2(x + (-6 + 6x)) = 7x

Reorder the terms:
12 + -9x + 2(-6 + x + 6x) = 7x

Combine like terms: x + 6x = 7x
12 + -9x + 2(-6 + 7x) = 7x
12 + -9x + (-6 * 2 + 7x * 2) = 7x
12 + -9x + (-12 + 14x) = 7x

Reorder the terms:
12 + -12 + -9x + 14x = 7x

Combine like terms: 12 + -12 = 0
0 + -9x + 14x = 7x
-9x + 14x = 7x

Combine like terms: -9x + 14x = 5x
5x = 7x

Solving
5x = 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.
5x + -7x = 7x + -7x

Combine like terms: 5x + -7x = -2x
-2x = 7x + -7x

Combine like terms: 7x + -7x = 0
-2x = 0

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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