10(4x-16)=-1(x+2)

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Solution for 10(4x-16)=-1(x+2) equation:


Simplifying
10(4x + -16) = -1(x + 2)

Reorder the terms:
10(-16 + 4x) = -1(x + 2)
(-16 * 10 + 4x * 10) = -1(x + 2)
(-160 + 40x) = -1(x + 2)

Reorder the terms:
-160 + 40x = -1(2 + x)
-160 + 40x = (2 * -1 + x * -1)
-160 + 40x = (-2 + -1x)

Solving
-160 + 40x = -2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-160 + 40x + x = -2 + -1x + x

Combine like terms: 40x + x = 41x
-160 + 41x = -2 + -1x + x

Combine like terms: -1x + x = 0
-160 + 41x = -2 + 0
-160 + 41x = -2

Add '160' to each side of the equation.
-160 + 160 + 41x = -2 + 160

Combine like terms: -160 + 160 = 0
0 + 41x = -2 + 160
41x = -2 + 160

Combine like terms: -2 + 160 = 158
41x = 158

Divide each side by '41'.
x = 3.853658537

Simplifying
x = 3.853658537

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