13(3-2x)+4(x+1)=7

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Solution for 13(3-2x)+4(x+1)=7 equation:


Simplifying
13(3 + -2x) + 4(x + 1) = 7
(3 * 13 + -2x * 13) + 4(x + 1) = 7
(39 + -26x) + 4(x + 1) = 7

Reorder the terms:
39 + -26x + 4(1 + x) = 7
39 + -26x + (1 * 4 + x * 4) = 7
39 + -26x + (4 + 4x) = 7

Reorder the terms:
39 + 4 + -26x + 4x = 7

Combine like terms: 39 + 4 = 43
43 + -26x + 4x = 7

Combine like terms: -26x + 4x = -22x
43 + -22x = 7

Solving
43 + -22x = 7

Solving for variable 'x'.

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

Add '-43' to each side of the equation.
43 + -43 + -22x = 7 + -43

Combine like terms: 43 + -43 = 0
0 + -22x = 7 + -43
-22x = 7 + -43

Combine like terms: 7 + -43 = -36
-22x = -36

Divide each side by '-22'.
x = 1.636363636

Simplifying
x = 1.636363636

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