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

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


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

Reorder the terms:
3(1 + 2x) + 7 = 7x + 1
(1 * 3 + 2x * 3) + 7 = 7x + 1
(3 + 6x) + 7 = 7x + 1

Reorder the terms:
3 + 7 + 6x = 7x + 1

Combine like terms: 3 + 7 = 10
10 + 6x = 7x + 1

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

Solving
10 + 6x = 1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
10 + 6x + -7x = 1 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
10 + -1x = 1 + 0
10 + -1x = 1

Add '-10' to each side of the equation.
10 + -10 + -1x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 1 + -10
-1x = 1 + -10

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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