4(x+2)+3(x-9)=37

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Solution for 4(x+2)+3(x-9)=37 equation: 


Simplifying
4(x + 2) + 3(x + -9) = 37

Reorder the terms:
4(2 + x) + 3(x + -9) = 37
(2 * 4 + x * 4) + 3(x + -9) = 37
(8 + 4x) + 3(x + -9) = 37

Reorder the terms:
8 + 4x + 3(-9 + x) = 37
8 + 4x + (-9 * 3 + x * 3) = 37
8 + 4x + (-27 + 3x) = 37

Reorder the terms:
8 + -27 + 4x + 3x = 37

Combine like terms: 8 + -27 = -19
-19 + 4x + 3x = 37

Combine like terms: 4x + 3x = 7x
-19 + 7x = 37

Solving
-19 + 7x = 37

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 7x = 37 + 19

Combine like terms: -19 + 19 = 0
0 + 7x = 37 + 19
7x = 37 + 19

Combine like terms: 37 + 19 = 56
7x = 56

Divide each side by '7'.
x = 8

Simplifying
x = 8

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