3(4-7x)+2(5-x)=38

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Solution for 3(4-7x)+2(5-x)=38 equation:


Simplifying
3(4 + -7x) + 2(5 + -1x) = 38
(4 * 3 + -7x * 3) + 2(5 + -1x) = 38
(12 + -21x) + 2(5 + -1x) = 38
12 + -21x + (5 * 2 + -1x * 2) = 38
12 + -21x + (10 + -2x) = 38

Reorder the terms:
12 + 10 + -21x + -2x = 38

Combine like terms: 12 + 10 = 22
22 + -21x + -2x = 38

Combine like terms: -21x + -2x = -23x
22 + -23x = 38

Solving
22 + -23x = 38

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -23x = 38 + -22

Combine like terms: 22 + -22 = 0
0 + -23x = 38 + -22
-23x = 38 + -22

Combine like terms: 38 + -22 = 16
-23x = 16

Divide each side by '-23'.
x = -0.6956521739

Simplifying
x = -0.6956521739

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