7x-1=2(3x+5)-9

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Solution for 7x-1=2(3x+5)-9 equation:


Simplifying
7x + -1 = 2(3x + 5) + -9

Reorder the terms:
-1 + 7x = 2(3x + 5) + -9

Reorder the terms:
-1 + 7x = 2(5 + 3x) + -9
-1 + 7x = (5 * 2 + 3x * 2) + -9
-1 + 7x = (10 + 6x) + -9

Reorder the terms:
-1 + 7x = 10 + -9 + 6x

Combine like terms: 10 + -9 = 1
-1 + 7x = 1 + 6x

Solving
-1 + 7x = 1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1 + 7x + -6x = 1 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-1 + 1x = 1 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + 1x = 1 + 0
-1 + 1x = 1

Add '1' to each side of the equation.
-1 + 1 + 1x = 1 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = 1 + 1
1x = 1 + 1

Combine like terms: 1 + 1 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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