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

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


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

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

Reorder the terms:
-5 + 3x = 2(7 + x) + -3
-5 + 3x = (7 * 2 + x * 2) + -3
-5 + 3x = (14 + 2x) + -3

Reorder the terms:
-5 + 3x = 14 + -3 + 2x

Combine like terms: 14 + -3 = 11
-5 + 3x = 11 + 2x

Solving
-5 + 3x = 11 + 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.
-5 + 3x + -2x = 11 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-5 + 1x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 1x = 11 + 0
-5 + 1x = 11

Add '5' to each side of the equation.
-5 + 5 + 1x = 11 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 11 + 5
1x = 11 + 5

Combine like terms: 11 + 5 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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