4(3x+11)=19(16+4x)

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Solution for 4(3x+11)=19(16+4x) equation:


Simplifying
4(3x + 11) = 19(16 + 4x)

Reorder the terms:
4(11 + 3x) = 19(16 + 4x)
(11 * 4 + 3x * 4) = 19(16 + 4x)
(44 + 12x) = 19(16 + 4x)
44 + 12x = (16 * 19 + 4x * 19)
44 + 12x = (304 + 76x)

Solving
44 + 12x = 304 + 76x

Solving for variable 'x'.

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

Add '-76x' to each side of the equation.
44 + 12x + -76x = 304 + 76x + -76x

Combine like terms: 12x + -76x = -64x
44 + -64x = 304 + 76x + -76x

Combine like terms: 76x + -76x = 0
44 + -64x = 304 + 0
44 + -64x = 304

Add '-44' to each side of the equation.
44 + -44 + -64x = 304 + -44

Combine like terms: 44 + -44 = 0
0 + -64x = 304 + -44
-64x = 304 + -44

Combine like terms: 304 + -44 = 260
-64x = 260

Divide each side by '-64'.
x = -4.0625

Simplifying
x = -4.0625

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