2(x+4)+3(2x-7)=19

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Solution for 2(x+4)+3(2x-7)=19 equation: 


Simplifying
2(x + 4) + 3(2x + -7) = 19

Reorder the terms:
2(4 + x) + 3(2x + -7) = 19
(4 * 2 + x * 2) + 3(2x + -7) = 19
(8 + 2x) + 3(2x + -7) = 19

Reorder the terms:
8 + 2x + 3(-7 + 2x) = 19
8 + 2x + (-7 * 3 + 2x * 3) = 19
8 + 2x + (-21 + 6x) = 19

Reorder the terms:
8 + -21 + 2x + 6x = 19

Combine like terms: 8 + -21 = -13
-13 + 2x + 6x = 19

Combine like terms: 2x + 6x = 8x
-13 + 8x = 19

Solving
-13 + 8x = 19

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 8x = 19 + 13

Combine like terms: -13 + 13 = 0
0 + 8x = 19 + 13
8x = 19 + 13

Combine like terms: 19 + 13 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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