8(x-9)=-2(x-41)

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Solution for 8(x-9)=-2(x-41) equation:


Simplifying
8(x + -9) = -2(x + -41)

Reorder the terms:
8(-9 + x) = -2(x + -41)
(-9 * 8 + x * 8) = -2(x + -41)
(-72 + 8x) = -2(x + -41)

Reorder the terms:
-72 + 8x = -2(-41 + x)
-72 + 8x = (-41 * -2 + x * -2)
-72 + 8x = (82 + -2x)

Solving
-72 + 8x = 82 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-72 + 8x + 2x = 82 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-72 + 10x = 82 + -2x + 2x

Combine like terms: -2x + 2x = 0
-72 + 10x = 82 + 0
-72 + 10x = 82

Add '72' to each side of the equation.
-72 + 72 + 10x = 82 + 72

Combine like terms: -72 + 72 = 0
0 + 10x = 82 + 72
10x = 82 + 72

Combine like terms: 82 + 72 = 154
10x = 154

Divide each side by '10'.
x = 15.4

Simplifying
x = 15.4

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