7(3-2x)+3(5-4x)=45

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Solution for 7(3-2x)+3(5-4x)=45 equation: 


Simplifying
7(3 + -2x) + 3(5 + -4x) = 45
(3 * 7 + -2x * 7) + 3(5 + -4x) = 45
(21 + -14x) + 3(5 + -4x) = 45
21 + -14x + (5 * 3 + -4x * 3) = 45
21 + -14x + (15 + -12x) = 45

Reorder the terms:
21 + 15 + -14x + -12x = 45

Combine like terms: 21 + 15 = 36
36 + -14x + -12x = 45

Combine like terms: -14x + -12x = -26x
36 + -26x = 45

Solving
36 + -26x = 45

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + -26x = 45 + -36

Combine like terms: 36 + -36 = 0
0 + -26x = 45 + -36
-26x = 45 + -36

Combine like terms: 45 + -36 = 9
-26x = 9

Divide each side by '-26'.
x = -0.3461538462

Simplifying
x = -0.3461538462

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