3(5-3x)-2(4-x)=10

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Solution for 3(5-3x)-2(4-x)=10 equation: 


Simplifying
3(5 + -3x) + -2(4 + -1x) = 10
(5 * 3 + -3x * 3) + -2(4 + -1x) = 10
(15 + -9x) + -2(4 + -1x) = 10
15 + -9x + (4 * -2 + -1x * -2) = 10
15 + -9x + (-8 + 2x) = 10

Reorder the terms:
15 + -8 + -9x + 2x = 10

Combine like terms: 15 + -8 = 7
7 + -9x + 2x = 10

Combine like terms: -9x + 2x = -7x
7 + -7x = 10

Solving
7 + -7x = 10

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -7x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + -7x = 10 + -7
-7x = 10 + -7

Combine like terms: 10 + -7 = 3
-7x = 3

Divide each side by '-7'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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