10-9x=4(x-4)

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Solution for 10-9x=4(x-4) equation:


Simplifying
10 + -9x = 4(x + -4)

Reorder the terms:
10 + -9x = 4(-4 + x)
10 + -9x = (-4 * 4 + x * 4)
10 + -9x = (-16 + 4x)

Solving
10 + -9x = -16 + 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.
10 + -9x + -4x = -16 + 4x + -4x

Combine like terms: -9x + -4x = -13x
10 + -13x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -13x = -16 + 0
10 + -13x = -16

Add '-10' to each side of the equation.
10 + -10 + -13x = -16 + -10

Combine like terms: 10 + -10 = 0
0 + -13x = -16 + -10
-13x = -16 + -10

Combine like terms: -16 + -10 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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