4(x+1)+9(x+4)=36

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Solution for 4(x+1)+9(x+4)=36 equation: 


Simplifying
4(x + 1) + 9(x + 4) = 36

Reorder the terms:
4(1 + x) + 9(x + 4) = 36
(1 * 4 + x * 4) + 9(x + 4) = 36
(4 + 4x) + 9(x + 4) = 36

Reorder the terms:
4 + 4x + 9(4 + x) = 36
4 + 4x + (4 * 9 + x * 9) = 36
4 + 4x + (36 + 9x) = 36

Reorder the terms:
4 + 36 + 4x + 9x = 36

Combine like terms: 4 + 36 = 40
40 + 4x + 9x = 36

Combine like terms: 4x + 9x = 13x
40 + 13x = 36

Solving
40 + 13x = 36

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 13x = 36 + -40

Combine like terms: 40 + -40 = 0
0 + 13x = 36 + -40
13x = 36 + -40

Combine like terms: 36 + -40 = -4
13x = -4

Divide each side by '13'.
x = -0.3076923077

Simplifying
x = -0.3076923077

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