2(5x-6)=3(3x+8)-19

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Solution for 2(5x-6)=3(3x+8)-19 equation:


Simplifying
2(5x + -6) = 3(3x + 8) + -19

Reorder the terms:
2(-6 + 5x) = 3(3x + 8) + -19
(-6 * 2 + 5x * 2) = 3(3x + 8) + -19
(-12 + 10x) = 3(3x + 8) + -19

Reorder the terms:
-12 + 10x = 3(8 + 3x) + -19
-12 + 10x = (8 * 3 + 3x * 3) + -19
-12 + 10x = (24 + 9x) + -19

Reorder the terms:
-12 + 10x = 24 + -19 + 9x

Combine like terms: 24 + -19 = 5
-12 + 10x = 5 + 9x

Solving
-12 + 10x = 5 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-12 + 10x + -9x = 5 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-12 + 1x = 5 + 9x + -9x

Combine like terms: 9x + -9x = 0
-12 + 1x = 5 + 0
-12 + 1x = 5

Add '12' to each side of the equation.
-12 + 12 + 1x = 5 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 5 + 12
1x = 5 + 12

Combine like terms: 5 + 12 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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