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

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


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

Reorder the terms:
7(-3 + x) + x = 2(x + 5) + 2
(-3 * 7 + x * 7) + x = 2(x + 5) + 2
(-21 + 7x) + x = 2(x + 5) + 2

Combine like terms: 7x + x = 8x
-21 + 8x = 2(x + 5) + 2

Reorder the terms:
-21 + 8x = 2(5 + x) + 2
-21 + 8x = (5 * 2 + x * 2) + 2
-21 + 8x = (10 + 2x) + 2

Reorder the terms:
-21 + 8x = 10 + 2 + 2x

Combine like terms: 10 + 2 = 12
-21 + 8x = 12 + 2x

Solving
-21 + 8x = 12 + 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.
-21 + 8x + -2x = 12 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-21 + 6x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + 6x = 12 + 0
-21 + 6x = 12

Add '21' to each side of the equation.
-21 + 21 + 6x = 12 + 21

Combine like terms: -21 + 21 = 0
0 + 6x = 12 + 21
6x = 12 + 21

Combine like terms: 12 + 21 = 33
6x = 33

Divide each side by '6'.
x = 5.5

Simplifying
x = 5.5

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