3(2x-3)=4(x+6)-19

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Solution for 3(2x-3)=4(x+6)-19 equation:


Simplifying
3(2x + -3) = 4(x + 6) + -19

Reorder the terms:
3(-3 + 2x) = 4(x + 6) + -19
(-3 * 3 + 2x * 3) = 4(x + 6) + -19
(-9 + 6x) = 4(x + 6) + -19

Reorder the terms:
-9 + 6x = 4(6 + x) + -19
-9 + 6x = (6 * 4 + x * 4) + -19
-9 + 6x = (24 + 4x) + -19

Reorder the terms:
-9 + 6x = 24 + -19 + 4x

Combine like terms: 24 + -19 = 5
-9 + 6x = 5 + 4x

Solving
-9 + 6x = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-9 + 6x + -4x = 5 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-9 + 2x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 2x = 5 + 0
-9 + 2x = 5

Add '9' to each side of the equation.
-9 + 9 + 2x = 5 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 5 + 9
2x = 5 + 9

Combine like terms: 5 + 9 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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