3-(7x-12)=2-9x+19

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Solution for 3-(7x-12)=2-9x+19 equation:


Simplifying
3 + -1(7x + -12) = 2 + -9x + 19

Reorder the terms:
3 + -1(-12 + 7x) = 2 + -9x + 19
3 + (-12 * -1 + 7x * -1) = 2 + -9x + 19
3 + (12 + -7x) = 2 + -9x + 19

Combine like terms: 3 + 12 = 15
15 + -7x = 2 + -9x + 19

Reorder the terms:
15 + -7x = 2 + 19 + -9x

Combine like terms: 2 + 19 = 21
15 + -7x = 21 + -9x

Solving
15 + -7x = 21 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
15 + -7x + 9x = 21 + -9x + 9x

Combine like terms: -7x + 9x = 2x
15 + 2x = 21 + -9x + 9x

Combine like terms: -9x + 9x = 0
15 + 2x = 21 + 0
15 + 2x = 21

Add '-15' to each side of the equation.
15 + -15 + 2x = 21 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 21 + -15
2x = 21 + -15

Combine like terms: 21 + -15 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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