7(x+3)=8x+2

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Solution for 7(x+3)=8x+2 equation:


Simplifying
7(x + 3) = 8x + 2

Reorder the terms:
7(3 + x) = 8x + 2
(3 * 7 + x * 7) = 8x + 2
(21 + 7x) = 8x + 2

Reorder the terms:
21 + 7x = 2 + 8x

Solving
21 + 7x = 2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
21 + 7x + -8x = 2 + 8x + -8x

Combine like terms: 7x + -8x = -1x
21 + -1x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
21 + -1x = 2 + 0
21 + -1x = 2

Add '-21' to each side of the equation.
21 + -21 + -1x = 2 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 2 + -21
-1x = 2 + -21

Combine like terms: 2 + -21 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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