6x-1=5(x-2)-7(2-3x)

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Solution for 6x-1=5(x-2)-7(2-3x) equation:


Simplifying
6x + -1 = 5(x + -2) + -7(2 + -3x)

Reorder the terms:
-1 + 6x = 5(x + -2) + -7(2 + -3x)

Reorder the terms:
-1 + 6x = 5(-2 + x) + -7(2 + -3x)
-1 + 6x = (-2 * 5 + x * 5) + -7(2 + -3x)
-1 + 6x = (-10 + 5x) + -7(2 + -3x)
-1 + 6x = -10 + 5x + (2 * -7 + -3x * -7)
-1 + 6x = -10 + 5x + (-14 + 21x)

Reorder the terms:
-1 + 6x = -10 + -14 + 5x + 21x

Combine like terms: -10 + -14 = -24
-1 + 6x = -24 + 5x + 21x

Combine like terms: 5x + 21x = 26x
-1 + 6x = -24 + 26x

Solving
-1 + 6x = -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.
-1 + 6x + -26x = -24 + 26x + -26x

Combine like terms: 6x + -26x = -20x
-1 + -20x = -24 + 26x + -26x

Combine like terms: 26x + -26x = 0
-1 + -20x = -24 + 0
-1 + -20x = -24

Add '1' to each side of the equation.
-1 + 1 + -20x = -24 + 1

Combine like terms: -1 + 1 = 0
0 + -20x = -24 + 1
-20x = -24 + 1

Combine like terms: -24 + 1 = -23
-20x = -23

Divide each side by '-20'.
x = 1.15

Simplifying
x = 1.15

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