-x+5=3(2x+4)+7

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Solution for -x+5=3(2x+4)+7 equation:


Simplifying
-1x + 5 = 3(2x + 4) + 7

Reorder the terms:
5 + -1x = 3(2x + 4) + 7

Reorder the terms:
5 + -1x = 3(4 + 2x) + 7
5 + -1x = (4 * 3 + 2x * 3) + 7
5 + -1x = (12 + 6x) + 7

Reorder the terms:
5 + -1x = 12 + 7 + 6x

Combine like terms: 12 + 7 = 19
5 + -1x = 19 + 6x

Solving
5 + -1x = 19 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + -1x + -6x = 19 + 6x + -6x

Combine like terms: -1x + -6x = -7x
5 + -7x = 19 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -7x = 19 + 0
5 + -7x = 19

Add '-5' to each side of the equation.
5 + -5 + -7x = 19 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 19 + -5
-7x = 19 + -5

Combine like terms: 19 + -5 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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