164=2(4x-1)+2(7x+6)

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Solution for 164=2(4x-1)+2(7x+6) equation:


Simplifying
164 = 2(4x + -1) + 2(7x + 6)

Reorder the terms:
164 = 2(-1 + 4x) + 2(7x + 6)
164 = (-1 * 2 + 4x * 2) + 2(7x + 6)
164 = (-2 + 8x) + 2(7x + 6)

Reorder the terms:
164 = -2 + 8x + 2(6 + 7x)
164 = -2 + 8x + (6 * 2 + 7x * 2)
164 = -2 + 8x + (12 + 14x)

Reorder the terms:
164 = -2 + 12 + 8x + 14x

Combine like terms: -2 + 12 = 10
164 = 10 + 8x + 14x

Combine like terms: 8x + 14x = 22x
164 = 10 + 22x

Solving
164 = 10 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
164 + -22x = 10 + 22x + -22x

Combine like terms: 22x + -22x = 0
164 + -22x = 10 + 0
164 + -22x = 10

Add '-164' to each side of the equation.
164 + -164 + -22x = 10 + -164

Combine like terms: 164 + -164 = 0
0 + -22x = 10 + -164
-22x = 10 + -164

Combine like terms: 10 + -164 = -154
-22x = -154

Divide each side by '-22'.
x = 7

Simplifying
x = 7

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