7(x-6)=2(2x+9)

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Solution for 7(x-6)=2(2x+9) equation:


Simplifying
7(x + -6) = 2(2x + 9)

Reorder the terms:
7(-6 + x) = 2(2x + 9)
(-6 * 7 + x * 7) = 2(2x + 9)
(-42 + 7x) = 2(2x + 9)

Reorder the terms:
-42 + 7x = 2(9 + 2x)
-42 + 7x = (9 * 2 + 2x * 2)
-42 + 7x = (18 + 4x)

Solving
-42 + 7x = 18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-42 + 7x + -4x = 18 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-42 + 3x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
-42 + 3x = 18 + 0
-42 + 3x = 18

Add '42' to each side of the equation.
-42 + 42 + 3x = 18 + 42

Combine like terms: -42 + 42 = 0
0 + 3x = 18 + 42
3x = 18 + 42

Combine like terms: 18 + 42 = 60
3x = 60

Divide each side by '3'.
x = 20

Simplifying
x = 20

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