7(x-2)=2(x-10)+9

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Solution for 7(x-2)=2(x-10)+9 equation:


Simplifying
7(x + -2) = 2(x + -10) + 9

Reorder the terms:
7(-2 + x) = 2(x + -10) + 9
(-2 * 7 + x * 7) = 2(x + -10) + 9
(-14 + 7x) = 2(x + -10) + 9

Reorder the terms:
-14 + 7x = 2(-10 + x) + 9
-14 + 7x = (-10 * 2 + x * 2) + 9
-14 + 7x = (-20 + 2x) + 9

Reorder the terms:
-14 + 7x = -20 + 9 + 2x

Combine like terms: -20 + 9 = -11
-14 + 7x = -11 + 2x

Solving
-14 + 7x = -11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-14 + 7x + -2x = -11 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-14 + 5x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 5x = -11 + 0
-14 + 5x = -11

Add '14' to each side of the equation.
-14 + 14 + 5x = -11 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = -11 + 14
5x = -11 + 14

Combine like terms: -11 + 14 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6

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