10x-4(x-4)=4x-5

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Solution for 10x-4(x-4)=4x-5 equation:


Simplifying
10x + -4(x + -4) = 4x + -5

Reorder the terms:
10x + -4(-4 + x) = 4x + -5
10x + (-4 * -4 + x * -4) = 4x + -5
10x + (16 + -4x) = 4x + -5

Reorder the terms:
16 + 10x + -4x = 4x + -5

Combine like terms: 10x + -4x = 6x
16 + 6x = 4x + -5

Reorder the terms:
16 + 6x = -5 + 4x

Solving
16 + 6x = -5 + 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.
16 + 6x + -4x = -5 + 4x + -4x

Combine like terms: 6x + -4x = 2x
16 + 2x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + 2x = -5 + 0
16 + 2x = -5

Add '-16' to each side of the equation.
16 + -16 + 2x = -5 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = -5 + -16
2x = -5 + -16

Combine like terms: -5 + -16 = -21
2x = -21

Divide each side by '2'.
x = -10.5

Simplifying
x = -10.5

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