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

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


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

Reorder the terms:
2(-5 + x) + 3(x + -2) = 19
(-5 * 2 + x * 2) + 3(x + -2) = 19
(-10 + 2x) + 3(x + -2) = 19

Reorder the terms:
-10 + 2x + 3(-2 + x) = 19
-10 + 2x + (-2 * 3 + x * 3) = 19
-10 + 2x + (-6 + 3x) = 19

Reorder the terms:
-10 + -6 + 2x + 3x = 19

Combine like terms: -10 + -6 = -16
-16 + 2x + 3x = 19

Combine like terms: 2x + 3x = 5x
-16 + 5x = 19

Solving
-16 + 5x = 19

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 5x = 19 + 16

Combine like terms: -16 + 16 = 0
0 + 5x = 19 + 16
5x = 19 + 16

Combine like terms: 19 + 16 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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