5x-4(-4x-2)+3=26x-24

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Solution for 5x-4(-4x-2)+3=26x-24 equation:


Simplifying
5x + -4(-4x + -2) + 3 = 26x + -24

Reorder the terms:
5x + -4(-2 + -4x) + 3 = 26x + -24
5x + (-2 * -4 + -4x * -4) + 3 = 26x + -24
5x + (8 + 16x) + 3 = 26x + -24

Reorder the terms:
8 + 3 + 5x + 16x = 26x + -24

Combine like terms: 8 + 3 = 11
11 + 5x + 16x = 26x + -24

Combine like terms: 5x + 16x = 21x
11 + 21x = 26x + -24

Reorder the terms:
11 + 21x = -24 + 26x

Solving
11 + 21x = -24 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
11 + 21x + -26x = -24 + 26x + -26x

Combine like terms: 21x + -26x = -5x
11 + -5x = -24 + 26x + -26x

Combine like terms: 26x + -26x = 0
11 + -5x = -24 + 0
11 + -5x = -24

Add '-11' to each side of the equation.
11 + -11 + -5x = -24 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = -24 + -11
-5x = -24 + -11

Combine like terms: -24 + -11 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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