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

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Solution for 4(x-9)=8(x-2) equation: 


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

Reorder the terms:
4(-9 + x) = 8(x + -2)
(-9 * 4 + x * 4) = 8(x + -2)
(-36 + 4x) = 8(x + -2)

Reorder the terms:
-36 + 4x = 8(-2 + x)
-36 + 4x = (-2 * 8 + x * 8)
-36 + 4x = (-16 + 8x)

Solving
-36 + 4x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-36 + 4x + -8x = -16 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-36 + -4x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-36 + -4x = -16 + 0
-36 + -4x = -16

Add '36' to each side of the equation.
-36 + 36 + -4x = -16 + 36

Combine like terms: -36 + 36 = 0
0 + -4x = -16 + 36
-4x = -16 + 36

Combine like terms: -16 + 36 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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