3(9+2(5))=4(x+11)

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Solution for 3(9+2(5))=4(x+11) equation:


Simplifying
3(9 + 2(5)) = 4(x + 11)

Multiply 2 * 5
3(9 + 10) = 4(x + 11)

Combine like terms: 9 + 10 = 19
3(19) = 4(x + 11)

Multiply 3 * 19
57 = 4(x + 11)

Reorder the terms:
57 = 4(11 + x)
57 = (11 * 4 + x * 4)
57 = (44 + 4x)

Solving
57 = 44 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
57 + -4x = 44 + 4x + -4x

Combine like terms: 4x + -4x = 0
57 + -4x = 44 + 0
57 + -4x = 44

Add '-57' to each side of the equation.
57 + -57 + -4x = 44 + -57

Combine like terms: 57 + -57 = 0
0 + -4x = 44 + -57
-4x = 44 + -57

Combine like terms: 44 + -57 = -13
-4x = -13

Divide each side by '-4'.
x = 3.25

Simplifying
x = 3.25

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