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

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


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

Reorder the terms:
2(-5 + x) + 3(x + -7) = 19
(-5 * 2 + x * 2) + 3(x + -7) = 19
(-10 + 2x) + 3(x + -7) = 19

Reorder the terms:
-10 + 2x + 3(-7 + x) = 19
-10 + 2x + (-7 * 3 + x * 3) = 19
-10 + 2x + (-21 + 3x) = 19

Reorder the terms:
-10 + -21 + 2x + 3x = 19

Combine like terms: -10 + -21 = -31
-31 + 2x + 3x = 19

Combine like terms: 2x + 3x = 5x
-31 + 5x = 19

Solving
-31 + 5x = 19

Solving for variable 'x'.

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

Add '31' to each side of the equation.
-31 + 31 + 5x = 19 + 31

Combine like terms: -31 + 31 = 0
0 + 5x = 19 + 31
5x = 19 + 31

Combine like terms: 19 + 31 = 50
5x = 50

Divide each side by '5'.
x = 10

Simplifying
x = 10

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