-4(5x-3)=7(-2x+6)

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Solution for -4(5x-3)=7(-2x+6) equation:


Simplifying
-4(5x + -3) = 7(-2x + 6)

Reorder the terms:
-4(-3 + 5x) = 7(-2x + 6)
(-3 * -4 + 5x * -4) = 7(-2x + 6)
(12 + -20x) = 7(-2x + 6)

Reorder the terms:
12 + -20x = 7(6 + -2x)
12 + -20x = (6 * 7 + -2x * 7)
12 + -20x = (42 + -14x)

Solving
12 + -20x = 42 + -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 = 42 + -14x + 14x

Combine like terms: -20x + 14x = -6x
12 + -6x = 42 + -14x + 14x

Combine like terms: -14x + 14x = 0
12 + -6x = 42 + 0
12 + -6x = 42

Add '-12' to each side of the equation.
12 + -12 + -6x = 42 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = 42 + -12
-6x = 42 + -12

Combine like terms: 42 + -12 = 30
-6x = 30

Divide each side by '-6'.
x = -5

Simplifying
x = -5

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