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

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


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

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

Solving
-2 + 7x = 3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-2 + 7x + -9x = 3 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-2 + -2x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + -2x = 3 + 0
-2 + -2x = 3

Add '2' to each side of the equation.
-2 + 2 + -2x = 3 + 2

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

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

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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