7(x+14)=3x-6

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Solution for 7(x+14)=3x-6 equation:


Simplifying
7(x + 14) = 3x + -6

Reorder the terms:
7(14 + x) = 3x + -6
(14 * 7 + x * 7) = 3x + -6
(98 + 7x) = 3x + -6

Reorder the terms:
98 + 7x = -6 + 3x

Solving
98 + 7x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
98 + 7x + -3x = -6 + 3x + -3x

Combine like terms: 7x + -3x = 4x
98 + 4x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
98 + 4x = -6 + 0
98 + 4x = -6

Add '-98' to each side of the equation.
98 + -98 + 4x = -6 + -98

Combine like terms: 98 + -98 = 0
0 + 4x = -6 + -98
4x = -6 + -98

Combine like terms: -6 + -98 = -104
4x = -104

Divide each side by '4'.
x = -26

Simplifying
x = -26

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