2(49+7x)=(19-9x)*3

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Solution for 2(49+7x)=(19-9x)*3 equation:


Simplifying
2(49 + 7x) = (19 + -9x) * 3
(49 * 2 + 7x * 2) = (19 + -9x) * 3
(98 + 14x) = (19 + -9x) * 3

Reorder the terms for easier multiplication:
98 + 14x = 3(19 + -9x)
98 + 14x = (19 * 3 + -9x * 3)
98 + 14x = (57 + -27x)

Solving
98 + 14x = 57 + -27x

Solving for variable 'x'.

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

Add '27x' to each side of the equation.
98 + 14x + 27x = 57 + -27x + 27x

Combine like terms: 14x + 27x = 41x
98 + 41x = 57 + -27x + 27x

Combine like terms: -27x + 27x = 0
98 + 41x = 57 + 0
98 + 41x = 57

Add '-98' to each side of the equation.
98 + -98 + 41x = 57 + -98

Combine like terms: 98 + -98 = 0
0 + 41x = 57 + -98
41x = 57 + -98

Combine like terms: 57 + -98 = -41
41x = -41

Divide each side by '41'.
x = -1

Simplifying
x = -1

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