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

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


Simplifying
5(3 + -1x) + -4(2 + -3x) = 2
(3 * 5 + -1x * 5) + -4(2 + -3x) = 2
(15 + -5x) + -4(2 + -3x) = 2
15 + -5x + (2 * -4 + -3x * -4) = 2
15 + -5x + (-8 + 12x) = 2

Reorder the terms:
15 + -8 + -5x + 12x = 2

Combine like terms: 15 + -8 = 7
7 + -5x + 12x = 2

Combine like terms: -5x + 12x = 7x
7 + 7x = 2

Solving
7 + 7x = 2

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 = 2 + -7

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

Combine like terms: 2 + -7 = -5
7x = -5

Divide each side by '7'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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