2(x-3)-5(2x+4)=12

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Solution for 2(x-3)-5(2x+4)=12 equation:


Simplifying
2(x + -3) + -5(2x + 4) = 12

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

Reorder the terms:
-6 + 2x + -5(4 + 2x) = 12
-6 + 2x + (4 * -5 + 2x * -5) = 12
-6 + 2x + (-20 + -10x) = 12

Reorder the terms:
-6 + -20 + 2x + -10x = 12

Combine like terms: -6 + -20 = -26
-26 + 2x + -10x = 12

Combine like terms: 2x + -10x = -8x
-26 + -8x = 12

Solving
-26 + -8x = 12

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + -8x = 12 + 26

Combine like terms: -26 + 26 = 0
0 + -8x = 12 + 26
-8x = 12 + 26

Combine like terms: 12 + 26 = 38
-8x = 38

Divide each side by '-8'.
x = -4.75

Simplifying
x = -4.75

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