3(2x-5)-2=3(x-2)+13

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Solution for 3(2x-5)-2=3(x-2)+13 equation:


Simplifying
3(2x + -5) + -2 = 3(x + -2) + 13

Reorder the terms:
3(-5 + 2x) + -2 = 3(x + -2) + 13
(-5 * 3 + 2x * 3) + -2 = 3(x + -2) + 13
(-15 + 6x) + -2 = 3(x + -2) + 13

Reorder the terms:
-15 + -2 + 6x = 3(x + -2) + 13

Combine like terms: -15 + -2 = -17
-17 + 6x = 3(x + -2) + 13

Reorder the terms:
-17 + 6x = 3(-2 + x) + 13
-17 + 6x = (-2 * 3 + x * 3) + 13
-17 + 6x = (-6 + 3x) + 13

Reorder the terms:
-17 + 6x = -6 + 13 + 3x

Combine like terms: -6 + 13 = 7
-17 + 6x = 7 + 3x

Solving
-17 + 6x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-17 + 6x + -3x = 7 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-17 + 3x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-17 + 3x = 7 + 0
-17 + 3x = 7

Add '17' to each side of the equation.
-17 + 17 + 3x = 7 + 17

Combine like terms: -17 + 17 = 0
0 + 3x = 7 + 17
3x = 7 + 17

Combine like terms: 7 + 17 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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