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

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


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

Reorder the terms:
3(-5 + 4x) = -7(-2x + 3)
(-5 * 3 + 4x * 3) = -7(-2x + 3)
(-15 + 12x) = -7(-2x + 3)

Reorder the terms:
-15 + 12x = -7(3 + -2x)
-15 + 12x = (3 * -7 + -2x * -7)
-15 + 12x = (-21 + 14x)

Solving
-15 + 12x = -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.
-15 + 12x + -14x = -21 + 14x + -14x

Combine like terms: 12x + -14x = -2x
-15 + -2x = -21 + 14x + -14x

Combine like terms: 14x + -14x = 0
-15 + -2x = -21 + 0
-15 + -2x = -21

Add '15' to each side of the equation.
-15 + 15 + -2x = -21 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = -21 + 15
-2x = -21 + 15

Combine like terms: -21 + 15 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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