5x-2(3x+7)=7x+12

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Solution for 5x-2(3x+7)=7x+12 equation:


Simplifying
5x + -2(3x + 7) = 7x + 12

Reorder the terms:
5x + -2(7 + 3x) = 7x + 12
5x + (7 * -2 + 3x * -2) = 7x + 12
5x + (-14 + -6x) = 7x + 12

Reorder the terms:
-14 + 5x + -6x = 7x + 12

Combine like terms: 5x + -6x = -1x
-14 + -1x = 7x + 12

Reorder the terms:
-14 + -1x = 12 + 7x

Solving
-14 + -1x = 12 + 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.
-14 + -1x + -7x = 12 + 7x + -7x

Combine like terms: -1x + -7x = -8x
-14 + -8x = 12 + 7x + -7x

Combine like terms: 7x + -7x = 0
-14 + -8x = 12 + 0
-14 + -8x = 12

Add '14' to each side of the equation.
-14 + 14 + -8x = 12 + 14

Combine like terms: -14 + 14 = 0
0 + -8x = 12 + 14
-8x = 12 + 14

Combine like terms: 12 + 14 = 26
-8x = 26

Divide each side by '-8'.
x = -3.25

Simplifying
x = -3.25

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