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

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


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

Reorder the terms:
4(-3 + 5x) = -7(-2x + -3)
(-3 * 4 + 5x * 4) = -7(-2x + -3)
(-12 + 20x) = -7(-2x + -3)

Reorder the terms:
-12 + 20x = -7(-3 + -2x)
-12 + 20x = (-3 * -7 + -2x * -7)
-12 + 20x = (21 + 14x)

Solving
-12 + 20x = 21 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-12 + 20x + -14x = 21 + 14x + -14x

Combine like terms: 20x + -14x = 6x
-12 + 6x = 21 + 14x + -14x

Combine like terms: 14x + -14x = 0
-12 + 6x = 21 + 0
-12 + 6x = 21

Add '12' to each side of the equation.
-12 + 12 + 6x = 21 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 21 + 12
6x = 21 + 12

Combine like terms: 21 + 12 = 33
6x = 33

Divide each side by '6'.
x = 5.5

Simplifying
x = 5.5

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