5(4x-2)+3(2x-1)=2x+78

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Solution for 5(4x-2)+3(2x-1)=2x+78 equation: 


Simplifying
5(4x + -2) + 3(2x + -1) = 2x + 78

Reorder the terms:
5(-2 + 4x) + 3(2x + -1) = 2x + 78
(-2 * 5 + 4x * 5) + 3(2x + -1) = 2x + 78
(-10 + 20x) + 3(2x + -1) = 2x + 78

Reorder the terms:
-10 + 20x + 3(-1 + 2x) = 2x + 78
-10 + 20x + (-1 * 3 + 2x * 3) = 2x + 78
-10 + 20x + (-3 + 6x) = 2x + 78

Reorder the terms:
-10 + -3 + 20x + 6x = 2x + 78

Combine like terms: -10 + -3 = -13
-13 + 20x + 6x = 2x + 78

Combine like terms: 20x + 6x = 26x
-13 + 26x = 2x + 78

Reorder the terms:
-13 + 26x = 78 + 2x

Solving
-13 + 26x = 78 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-13 + 26x + -2x = 78 + 2x + -2x

Combine like terms: 26x + -2x = 24x
-13 + 24x = 78 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + 24x = 78 + 0
-13 + 24x = 78

Add '13' to each side of the equation.
-13 + 13 + 24x = 78 + 13

Combine like terms: -13 + 13 = 0
0 + 24x = 78 + 13
24x = 78 + 13

Combine like terms: 78 + 13 = 91
24x = 91

Divide each side by '24'.
x = 3.791666667

Simplifying
x = 3.791666667

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