3((7(x-2)+4)-(2(2x-5)+6))=

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Solution for 3((7(x-2)+4)-(2(2x-5)+6))= equation:


Simplifying
3((7(x + -2) + 4) + -1(2(2x + -5) + 6)) = 0

Reorder the terms:
3((7(-2 + x) + 4) + -1(2(2x + -5) + 6)) = 0
3(((-2 * 7 + x * 7) + 4) + -1(2(2x + -5) + 6)) = 0
3(((-14 + 7x) + 4) + -1(2(2x + -5) + 6)) = 0

Reorder the terms:
3((-14 + 4 + 7x) + -1(2(2x + -5) + 6)) = 0

Combine like terms: -14 + 4 = -10
3((-10 + 7x) + -1(2(2x + -5) + 6)) = 0

Remove parenthesis around (-10 + 7x)
3(-10 + 7x + -1(2(2x + -5) + 6)) = 0

Reorder the terms:
3(-10 + 7x + -1(2(-5 + 2x) + 6)) = 0
3(-10 + 7x + -1((-5 * 2 + 2x * 2) + 6)) = 0
3(-10 + 7x + -1((-10 + 4x) + 6)) = 0

Reorder the terms:
3(-10 + 7x + -1(-10 + 6 + 4x)) = 0

Combine like terms: -10 + 6 = -4
3(-10 + 7x + -1(-4 + 4x)) = 0
3(-10 + 7x + (-4 * -1 + 4x * -1)) = 0
3(-10 + 7x + (4 + -4x)) = 0

Reorder the terms:
3(-10 + 4 + 7x + -4x) = 0

Combine like terms: -10 + 4 = -6
3(-6 + 7x + -4x) = 0

Combine like terms: 7x + -4x = 3x
3(-6 + 3x) = 0
(-6 * 3 + 3x * 3) = 0
(-18 + 9x) = 0

Solving
-18 + 9x = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 9x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 9x = 0 + 18
9x = 0 + 18

Combine like terms: 0 + 18 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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