3x-7=2(x+5)

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


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

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

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

Solving
-7 + 3x = 10 + 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.
-7 + 3x + -2x = 10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-7 + 1x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 1x = 10 + 0
-7 + 1x = 10

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

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

Combine like terms: 10 + 7 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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