3x-4(x-1)=6x-5

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Solution for 3x-4(x-1)=6x-5 equation:


Simplifying
3x + -4(x + -1) = 6x + -5

Reorder the terms:
3x + -4(-1 + x) = 6x + -5
3x + (-1 * -4 + x * -4) = 6x + -5
3x + (4 + -4x) = 6x + -5

Reorder the terms:
4 + 3x + -4x = 6x + -5

Combine like terms: 3x + -4x = -1x
4 + -1x = 6x + -5

Reorder the terms:
4 + -1x = -5 + 6x

Solving
4 + -1x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + -1x + -6x = -5 + 6x + -6x

Combine like terms: -1x + -6x = -7x
4 + -7x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -7x = -5 + 0
4 + -7x = -5

Add '-4' to each side of the equation.
4 + -4 + -7x = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = -5 + -4
-7x = -5 + -4

Combine like terms: -5 + -4 = -9
-7x = -9

Divide each side by '-7'.
x = 1.285714286

Simplifying
x = 1.285714286

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