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

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


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

Reorder the terms:
7(-4 + 2x) + (5 + -3x) = 2
(-4 * 7 + 2x * 7) + (5 + -3x) = 2
(-28 + 14x) + (5 + -3x) = 2

Remove parenthesis around (5 + -3x)
-28 + 14x + 5 + -3x = 2

Reorder the terms:
-28 + 5 + 14x + -3x = 2

Combine like terms: -28 + 5 = -23
-23 + 14x + -3x = 2

Combine like terms: 14x + -3x = 11x
-23 + 11x = 2

Solving
-23 + 11x = 2

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 11x = 2 + 23

Combine like terms: -23 + 23 = 0
0 + 11x = 2 + 23
11x = 2 + 23

Combine like terms: 2 + 23 = 25
11x = 25

Divide each side by '11'.
x = 2.272727273

Simplifying
x = 2.272727273

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