5x-4(2x-4)+10=10x-2x+5

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Solution for 5x-4(2x-4)+10=10x-2x+5 equation:


Simplifying
5x + -4(2x + -4) + 10 = 10x + -2x + 5

Reorder the terms:
5x + -4(-4 + 2x) + 10 = 10x + -2x + 5
5x + (-4 * -4 + 2x * -4) + 10 = 10x + -2x + 5
5x + (16 + -8x) + 10 = 10x + -2x + 5

Reorder the terms:
16 + 10 + 5x + -8x = 10x + -2x + 5

Combine like terms: 16 + 10 = 26
26 + 5x + -8x = 10x + -2x + 5

Combine like terms: 5x + -8x = -3x
26 + -3x = 10x + -2x + 5

Reorder the terms:
26 + -3x = 5 + 10x + -2x

Combine like terms: 10x + -2x = 8x
26 + -3x = 5 + 8x

Solving
26 + -3x = 5 + 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.
26 + -3x + -8x = 5 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
26 + -11x = 5 + 0
26 + -11x = 5

Add '-26' to each side of the equation.
26 + -26 + -11x = 5 + -26

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

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

Divide each side by '-11'.
x = 1.909090909

Simplifying
x = 1.909090909

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