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

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


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

Reorder the terms:
5(-4 + 2x) + -3(4x + 2) = 3x + 7
(-4 * 5 + 2x * 5) + -3(4x + 2) = 3x + 7
(-20 + 10x) + -3(4x + 2) = 3x + 7

Reorder the terms:
-20 + 10x + -3(2 + 4x) = 3x + 7
-20 + 10x + (2 * -3 + 4x * -3) = 3x + 7
-20 + 10x + (-6 + -12x) = 3x + 7

Reorder the terms:
-20 + -6 + 10x + -12x = 3x + 7

Combine like terms: -20 + -6 = -26
-26 + 10x + -12x = 3x + 7

Combine like terms: 10x + -12x = -2x
-26 + -2x = 3x + 7

Reorder the terms:
-26 + -2x = 7 + 3x

Solving
-26 + -2x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-26 + -2x + -3x = 7 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-26 + -5x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-26 + -5x = 7 + 0
-26 + -5x = 7

Add '26' to each side of the equation.
-26 + 26 + -5x = 7 + 26

Combine like terms: -26 + 26 = 0
0 + -5x = 7 + 26
-5x = 7 + 26

Combine like terms: 7 + 26 = 33
-5x = 33

Divide each side by '-5'.
x = -6.6

Simplifying
x = -6.6

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