4(2x-3)+3(2x+1)=19

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Solution for 4(2x-3)+3(2x+1)=19 equation:


Simplifying
4(2x + -3) + 3(2x + 1) = 19

Reorder the terms:
4(-3 + 2x) + 3(2x + 1) = 19
(-3 * 4 + 2x * 4) + 3(2x + 1) = 19
(-12 + 8x) + 3(2x + 1) = 19

Reorder the terms:
-12 + 8x + 3(1 + 2x) = 19
-12 + 8x + (1 * 3 + 2x * 3) = 19
-12 + 8x + (3 + 6x) = 19

Reorder the terms:
-12 + 3 + 8x + 6x = 19

Combine like terms: -12 + 3 = -9
-9 + 8x + 6x = 19

Combine like terms: 8x + 6x = 14x
-9 + 14x = 19

Solving
-9 + 14x = 19

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 14x = 19 + 9

Combine like terms: -9 + 9 = 0
0 + 14x = 19 + 9
14x = 19 + 9

Combine like terms: 19 + 9 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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