2(2x+7)-3(5-2x)=19

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Solution for 2(2x+7)-3(5-2x)=19 equation: 


Simplifying
2(2x + 7) + -3(5 + -2x) = 19

Reorder the terms:
2(7 + 2x) + -3(5 + -2x) = 19
(7 * 2 + 2x * 2) + -3(5 + -2x) = 19
(14 + 4x) + -3(5 + -2x) = 19
14 + 4x + (5 * -3 + -2x * -3) = 19
14 + 4x + (-15 + 6x) = 19

Reorder the terms:
14 + -15 + 4x + 6x = 19

Combine like terms: 14 + -15 = -1
-1 + 4x + 6x = 19

Combine like terms: 4x + 6x = 10x
-1 + 10x = 19

Solving
-1 + 10x = 19

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 10x = 19 + 1

Combine like terms: -1 + 1 = 0
0 + 10x = 19 + 1
10x = 19 + 1

Combine like terms: 19 + 1 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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