3x-5(7x-4)=6(5-3x)

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Solution for 3x-5(7x-4)=6(5-3x) equation:


Simplifying
3x + -5(7x + -4) = 6(5 + -3x)

Reorder the terms:
3x + -5(-4 + 7x) = 6(5 + -3x)
3x + (-4 * -5 + 7x * -5) = 6(5 + -3x)
3x + (20 + -35x) = 6(5 + -3x)

Reorder the terms:
20 + 3x + -35x = 6(5 + -3x)

Combine like terms: 3x + -35x = -32x
20 + -32x = 6(5 + -3x)
20 + -32x = (5 * 6 + -3x * 6)
20 + -32x = (30 + -18x)

Solving
20 + -32x = 30 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
20 + -32x + 18x = 30 + -18x + 18x

Combine like terms: -32x + 18x = -14x
20 + -14x = 30 + -18x + 18x

Combine like terms: -18x + 18x = 0
20 + -14x = 30 + 0
20 + -14x = 30

Add '-20' to each side of the equation.
20 + -20 + -14x = 30 + -20

Combine like terms: 20 + -20 = 0
0 + -14x = 30 + -20
-14x = 30 + -20

Combine like terms: 30 + -20 = 10
-14x = 10

Divide each side by '-14'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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