3(x+22)=7x-14

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Solution for 3(x+22)=7x-14 equation:


Simplifying
3(x + 22) = 7x + -14

Reorder the terms:
3(22 + x) = 7x + -14
(22 * 3 + x * 3) = 7x + -14
(66 + 3x) = 7x + -14

Reorder the terms:
66 + 3x = -14 + 7x

Solving
66 + 3x = -14 + 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.
66 + 3x + -7x = -14 + 7x + -7x

Combine like terms: 3x + -7x = -4x
66 + -4x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
66 + -4x = -14 + 0
66 + -4x = -14

Add '-66' to each side of the equation.
66 + -66 + -4x = -14 + -66

Combine like terms: 66 + -66 = 0
0 + -4x = -14 + -66
-4x = -14 + -66

Combine like terms: -14 + -66 = -80
-4x = -80

Divide each side by '-4'.
x = 20

Simplifying
x = 20

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