8(x-5)=-4(x-7)

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Solution for 8(x-5)=-4(x-7) equation:


Simplifying
8(x + -5) = -4(x + -7)

Reorder the terms:
8(-5 + x) = -4(x + -7)
(-5 * 8 + x * 8) = -4(x + -7)
(-40 + 8x) = -4(x + -7)

Reorder the terms:
-40 + 8x = -4(-7 + x)
-40 + 8x = (-7 * -4 + x * -4)
-40 + 8x = (28 + -4x)

Solving
-40 + 8x = 28 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-40 + 8x + 4x = 28 + -4x + 4x

Combine like terms: 8x + 4x = 12x
-40 + 12x = 28 + -4x + 4x

Combine like terms: -4x + 4x = 0
-40 + 12x = 28 + 0
-40 + 12x = 28

Add '40' to each side of the equation.
-40 + 40 + 12x = 28 + 40

Combine like terms: -40 + 40 = 0
0 + 12x = 28 + 40
12x = 28 + 40

Combine like terms: 28 + 40 = 68
12x = 68

Divide each side by '12'.
x = 5.666666667

Simplifying
x = 5.666666667

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