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

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Solution for 8(x-3)=-5(2x-7) equation:


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

Reorder the terms:
8(-3 + x) = -5(2x + -7)
(-3 * 8 + x * 8) = -5(2x + -7)
(-24 + 8x) = -5(2x + -7)

Reorder the terms:
-24 + 8x = -5(-7 + 2x)
-24 + 8x = (-7 * -5 + 2x * -5)
-24 + 8x = (35 + -10x)

Solving
-24 + 8x = 35 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-24 + 8x + 10x = 35 + -10x + 10x

Combine like terms: 8x + 10x = 18x
-24 + 18x = 35 + -10x + 10x

Combine like terms: -10x + 10x = 0
-24 + 18x = 35 + 0
-24 + 18x = 35

Add '24' to each side of the equation.
-24 + 24 + 18x = 35 + 24

Combine like terms: -24 + 24 = 0
0 + 18x = 35 + 24
18x = 35 + 24

Combine like terms: 35 + 24 = 59
18x = 59

Divide each side by '18'.
x = 3.277777778

Simplifying
x = 3.277777778

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