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

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


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

Reorder the terms:
5(-2 + x) = -3(7 + -4x)
(-2 * 5 + x * 5) = -3(7 + -4x)
(-10 + 5x) = -3(7 + -4x)
-10 + 5x = (7 * -3 + -4x * -3)
-10 + 5x = (-21 + 12x)

Solving
-10 + 5x = -21 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-10 + 5x + -12x = -21 + 12x + -12x

Combine like terms: 5x + -12x = -7x
-10 + -7x = -21 + 12x + -12x

Combine like terms: 12x + -12x = 0
-10 + -7x = -21 + 0
-10 + -7x = -21

Add '10' to each side of the equation.
-10 + 10 + -7x = -21 + 10

Combine like terms: -10 + 10 = 0
0 + -7x = -21 + 10
-7x = -21 + 10

Combine like terms: -21 + 10 = -11
-7x = -11

Divide each side by '-7'.
x = 1.571428571

Simplifying
x = 1.571428571

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