1-7(6-5x)=4(6-x)-10X

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Solution for 1-7(6-5x)=4(6-x)-10X equation: 


Simplifying
1 + -7(6 + -5x) = 4(6 + -1x) + -10X
1 + (6 * -7 + -5x * -7) = 4(6 + -1x) + -10X
1 + (-42 + 35x) = 4(6 + -1x) + -10X

Combine like terms: 1 + -42 = -41
-41 + 35x = 4(6 + -1x) + -10X
-41 + 35x = (6 * 4 + -1x * 4) + -10X
-41 + 35x = (24 + -4x) + -10X

Reorder the terms:
-41 + 35x = 24 + -10X + -4x

Solving
-41 + 35x = 24 + -10X + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-41 + 35x + 4x = 24 + -10X + -4x + 4x

Combine like terms: 35x + 4x = 39x
-41 + 39x = 24 + -10X + -4x + 4x

Combine like terms: -4x + 4x = 0
-41 + 39x = 24 + -10X + 0
-41 + 39x = 24 + -10X

Add '41' to each side of the equation.
-41 + 41 + 39x = 24 + 41 + -10X

Combine like terms: -41 + 41 = 0
0 + 39x = 24 + 41 + -10X
39x = 24 + 41 + -10X

Combine like terms: 24 + 41 = 65
39x = 65 + -10X

Divide each side by '39'.
x = 1.666666667 + -0.2564102564X

Simplifying
x = 1.666666667 + -0.2564102564X

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