4(6x-7)-(3x-5)=40

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Solution for 4(6x-7)-(3x-5)=40 equation: 


Simplifying
4(6x + -7) + -1(3x + -5) = 40

Reorder the terms:
4(-7 + 6x) + -1(3x + -5) = 40
(-7 * 4 + 6x * 4) + -1(3x + -5) = 40
(-28 + 24x) + -1(3x + -5) = 40

Reorder the terms:
-28 + 24x + -1(-5 + 3x) = 40
-28 + 24x + (-5 * -1 + 3x * -1) = 40
-28 + 24x + (5 + -3x) = 40

Reorder the terms:
-28 + 5 + 24x + -3x = 40

Combine like terms: -28 + 5 = -23
-23 + 24x + -3x = 40

Combine like terms: 24x + -3x = 21x
-23 + 21x = 40

Solving
-23 + 21x = 40

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 21x = 40 + 23

Combine like terms: -23 + 23 = 0
0 + 21x = 40 + 23
21x = 40 + 23

Combine like terms: 40 + 23 = 63
21x = 63

Divide each side by '21'.
x = 3

Simplifying
x = 3

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