114=3x+4(x+11)

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Solution for 114=3x+4(x+11) equation:


Simplifying
114 = 3x + 4(x + 11)

Reorder the terms:
114 = 3x + 4(11 + x)
114 = 3x + (11 * 4 + x * 4)
114 = 3x + (44 + 4x)

Reorder the terms:
114 = 44 + 3x + 4x

Combine like terms: 3x + 4x = 7x
114 = 44 + 7x

Solving
114 = 44 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
114 + -7x = 44 + 7x + -7x

Combine like terms: 7x + -7x = 0
114 + -7x = 44 + 0
114 + -7x = 44

Add '-114' to each side of the equation.
114 + -114 + -7x = 44 + -114

Combine like terms: 114 + -114 = 0
0 + -7x = 44 + -114
-7x = 44 + -114

Combine like terms: 44 + -114 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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