4(x+3)+7(x+2)=37

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Solution for 4(x+3)+7(x+2)=37 equation: 


Simplifying
4(x + 3) + 7(x + 2) = 37

Reorder the terms:
4(3 + x) + 7(x + 2) = 37
(3 * 4 + x * 4) + 7(x + 2) = 37
(12 + 4x) + 7(x + 2) = 37

Reorder the terms:
12 + 4x + 7(2 + x) = 37
12 + 4x + (2 * 7 + x * 7) = 37
12 + 4x + (14 + 7x) = 37

Reorder the terms:
12 + 14 + 4x + 7x = 37

Combine like terms: 12 + 14 = 26
26 + 4x + 7x = 37

Combine like terms: 4x + 7x = 11x
26 + 11x = 37

Solving
26 + 11x = 37

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 11x = 37 + -26

Combine like terms: 26 + -26 = 0
0 + 11x = 37 + -26
11x = 37 + -26

Combine like terms: 37 + -26 = 11
11x = 11

Divide each side by '11'.
x = 1

Simplifying
x = 1

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