7x-2(x-9)=2(x-3)+1

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Solution for 7x-2(x-9)=2(x-3)+1 equation: 


Simplifying
7x + -2(x + -9) = 2(x + -3) + 1

Reorder the terms:
7x + -2(-9 + x) = 2(x + -3) + 1
7x + (-9 * -2 + x * -2) = 2(x + -3) + 1
7x + (18 + -2x) = 2(x + -3) + 1

Reorder the terms:
18 + 7x + -2x = 2(x + -3) + 1

Combine like terms: 7x + -2x = 5x
18 + 5x = 2(x + -3) + 1

Reorder the terms:
18 + 5x = 2(-3 + x) + 1
18 + 5x = (-3 * 2 + x * 2) + 1
18 + 5x = (-6 + 2x) + 1

Reorder the terms:
18 + 5x = -6 + 1 + 2x

Combine like terms: -6 + 1 = -5
18 + 5x = -5 + 2x

Solving
18 + 5x = -5 + 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.
18 + 5x + -2x = -5 + 2x + -2x

Combine like terms: 5x + -2x = 3x
18 + 3x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 3x = -5 + 0
18 + 3x = -5

Add '-18' to each side of the equation.
18 + -18 + 3x = -5 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = -5 + -18
3x = -5 + -18

Combine like terms: -5 + -18 = -23
3x = -23

Divide each side by '3'.
x = -7.666666667

Simplifying
x = -7.666666667

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