4x-3(6x-1)-7(4x-3)=10

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Solution for 4x-3(6x-1)-7(4x-3)=10 equation: 


Simplifying
4x + -3(6x + -1) + -7(4x + -3) = 10

Reorder the terms:
4x + -3(-1 + 6x) + -7(4x + -3) = 10
4x + (-1 * -3 + 6x * -3) + -7(4x + -3) = 10
4x + (3 + -18x) + -7(4x + -3) = 10

Reorder the terms:
4x + 3 + -18x + -7(-3 + 4x) = 10
4x + 3 + -18x + (-3 * -7 + 4x * -7) = 10
4x + 3 + -18x + (21 + -28x) = 10

Reorder the terms:
3 + 21 + 4x + -18x + -28x = 10

Combine like terms: 3 + 21 = 24
24 + 4x + -18x + -28x = 10

Combine like terms: 4x + -18x = -14x
24 + -14x + -28x = 10

Combine like terms: -14x + -28x = -42x
24 + -42x = 10

Solving
24 + -42x = 10

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + -42x = 10 + -24

Combine like terms: 24 + -24 = 0
0 + -42x = 10 + -24
-42x = 10 + -24

Combine like terms: 10 + -24 = -14
-42x = -14

Divide each side by '-42'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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