3(2x-1)-(7x-4x)=40

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Solution for 3(2x-1)-(7x-4x)=40 equation:


Simplifying
3(2x + -1) + -1(7x + -4x) = 40

Reorder the terms:
3(-1 + 2x) + -1(7x + -4x) = 40
(-1 * 3 + 2x * 3) + -1(7x + -4x) = 40
(-3 + 6x) + -1(7x + -4x) = 40

Combine like terms: 7x + -4x = 3x
-3 + 6x + -1(3x) = 40

Remove parenthesis around (3x)
-3 + 6x + -1 * 3x = 40

Multiply -1 * 3
-3 + 6x + -3x = 40

Combine like terms: 6x + -3x = 3x
-3 + 3x = 40

Solving
-3 + 3x = 40

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 3x = 40 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = 40 + 3
3x = 40 + 3

Combine like terms: 40 + 3 = 43
3x = 43

Divide each side by '3'.
x = 14.33333333

Simplifying
x = 14.33333333

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