4(x-7)+11(x+6)=

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Solution for 4(x-7)+11(x+6)= equation: 


Simplifying
4(x + -7) + 11(x + 6) = 0

Reorder the terms:
4(-7 + x) + 11(x + 6) = 0
(-7 * 4 + x * 4) + 11(x + 6) = 0
(-28 + 4x) + 11(x + 6) = 0

Reorder the terms:
-28 + 4x + 11(6 + x) = 0
-28 + 4x + (6 * 11 + x * 11) = 0
-28 + 4x + (66 + 11x) = 0

Reorder the terms:
-28 + 66 + 4x + 11x = 0

Combine like terms: -28 + 66 = 38
38 + 4x + 11x = 0

Combine like terms: 4x + 11x = 15x
38 + 15x = 0

Solving
38 + 15x = 0

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + 15x = 0 + -38

Combine like terms: 38 + -38 = 0
0 + 15x = 0 + -38
15x = 0 + -38

Combine like terms: 0 + -38 = -38
15x = -38

Divide each side by '15'.
x = -2.533333333

Simplifying
x = -2.533333333

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