4(x-3)+3(9-2x)=19

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Solution for 4(x-3)+3(9-2x)=19 equation: 


Simplifying
4(x + -3) + 3(9 + -2x) = 19

Reorder the terms:
4(-3 + x) + 3(9 + -2x) = 19
(-3 * 4 + x * 4) + 3(9 + -2x) = 19
(-12 + 4x) + 3(9 + -2x) = 19
-12 + 4x + (9 * 3 + -2x * 3) = 19
-12 + 4x + (27 + -6x) = 19

Reorder the terms:
-12 + 27 + 4x + -6x = 19

Combine like terms: -12 + 27 = 15
15 + 4x + -6x = 19

Combine like terms: 4x + -6x = -2x
15 + -2x = 19

Solving
15 + -2x = 19

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -2x = 19 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 19 + -15
-2x = 19 + -15

Combine like terms: 19 + -15 = 4
-2x = 4

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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