3(x+15)+4(11-x)=15

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Solution for 3(x+15)+4(11-x)=15 equation: 


Simplifying
3(x + 15) + 4(11 + -1x) = 15

Reorder the terms:
3(15 + x) + 4(11 + -1x) = 15
(15 * 3 + x * 3) + 4(11 + -1x) = 15
(45 + 3x) + 4(11 + -1x) = 15
45 + 3x + (11 * 4 + -1x * 4) = 15
45 + 3x + (44 + -4x) = 15

Reorder the terms:
45 + 44 + 3x + -4x = 15

Combine like terms: 45 + 44 = 89
89 + 3x + -4x = 15

Combine like terms: 3x + -4x = -1x
89 + -1x = 15

Solving
89 + -1x = 15

Solving for variable 'x'.

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

Add '-89' to each side of the equation.
89 + -89 + -1x = 15 + -89

Combine like terms: 89 + -89 = 0
0 + -1x = 15 + -89
-1x = 15 + -89

Combine like terms: 15 + -89 = -74
-1x = -74

Divide each side by '-1'.
x = 74

Simplifying
x = 74

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