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

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


Simplifying
3x + -2(5x + -4) = 4x + -1(2x + -26)

Reorder the terms:
3x + -2(-4 + 5x) = 4x + -1(2x + -26)
3x + (-4 * -2 + 5x * -2) = 4x + -1(2x + -26)
3x + (8 + -10x) = 4x + -1(2x + -26)

Reorder the terms:
8 + 3x + -10x = 4x + -1(2x + -26)

Combine like terms: 3x + -10x = -7x
8 + -7x = 4x + -1(2x + -26)

Reorder the terms:
8 + -7x = 4x + -1(-26 + 2x)
8 + -7x = 4x + (-26 * -1 + 2x * -1)
8 + -7x = 4x + (26 + -2x)

Reorder the terms:
8 + -7x = 26 + 4x + -2x

Combine like terms: 4x + -2x = 2x
8 + -7x = 26 + 2x

Solving
8 + -7x = 26 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + -7x + -2x = 26 + 2x + -2x

Combine like terms: -7x + -2x = -9x
8 + -9x = 26 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -9x = 26 + 0
8 + -9x = 26

Add '-8' to each side of the equation.
8 + -8 + -9x = 26 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = 26 + -8
-9x = 26 + -8

Combine like terms: 26 + -8 = 18
-9x = 18

Divide each side by '-9'.
x = -2

Simplifying
x = -2

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