3(1-2x)+4(2x-5)=7

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Solution for 3(1-2x)+4(2x-5)=7 equation: 


Simplifying
3(1 + -2x) + 4(2x + -5) = 7
(1 * 3 + -2x * 3) + 4(2x + -5) = 7
(3 + -6x) + 4(2x + -5) = 7

Reorder the terms:
3 + -6x + 4(-5 + 2x) = 7
3 + -6x + (-5 * 4 + 2x * 4) = 7
3 + -6x + (-20 + 8x) = 7

Reorder the terms:
3 + -20 + -6x + 8x = 7

Combine like terms: 3 + -20 = -17
-17 + -6x + 8x = 7

Combine like terms: -6x + 8x = 2x
-17 + 2x = 7

Solving
-17 + 2x = 7

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 2x = 7 + 17

Combine like terms: -17 + 17 = 0
0 + 2x = 7 + 17
2x = 7 + 17

Combine like terms: 7 + 17 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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