3(5x+44)=4(x+22)

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Solution for 3(5x+44)=4(x+22) equation:


Simplifying
3(5x + 44) = 4(x + 22)

Reorder the terms:
3(44 + 5x) = 4(x + 22)
(44 * 3 + 5x * 3) = 4(x + 22)
(132 + 15x) = 4(x + 22)

Reorder the terms:
132 + 15x = 4(22 + x)
132 + 15x = (22 * 4 + x * 4)
132 + 15x = (88 + 4x)

Solving
132 + 15x = 88 + 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.
132 + 15x + -4x = 88 + 4x + -4x

Combine like terms: 15x + -4x = 11x
132 + 11x = 88 + 4x + -4x

Combine like terms: 4x + -4x = 0
132 + 11x = 88 + 0
132 + 11x = 88

Add '-132' to each side of the equation.
132 + -132 + 11x = 88 + -132

Combine like terms: 132 + -132 = 0
0 + 11x = 88 + -132
11x = 88 + -132

Combine like terms: 88 + -132 = -44
11x = -44

Divide each side by '11'.
x = -4

Simplifying
x = -4

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