2(x-4)+3(x+5)=37

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Solution for 2(x-4)+3(x+5)=37 equation:


Simplifying
2(x + -4) + 3(x + 5) = 37

Reorder the terms:
2(-4 + x) + 3(x + 5) = 37
(-4 * 2 + x * 2) + 3(x + 5) = 37
(-8 + 2x) + 3(x + 5) = 37

Reorder the terms:
-8 + 2x + 3(5 + x) = 37
-8 + 2x + (5 * 3 + x * 3) = 37
-8 + 2x + (15 + 3x) = 37

Reorder the terms:
-8 + 15 + 2x + 3x = 37

Combine like terms: -8 + 15 = 7
7 + 2x + 3x = 37

Combine like terms: 2x + 3x = 5x
7 + 5x = 37

Solving
7 + 5x = 37

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 5x = 37 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 37 + -7
5x = 37 + -7

Combine like terms: 37 + -7 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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