2(6x-5(x-3))+4=40

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Solution for 2(6x-5(x-3))+4=40 equation:


Simplifying
2(6x + -5(x + -3)) + 4 = 40

Reorder the terms:
2(6x + -5(-3 + x)) + 4 = 40
2(6x + (-3 * -5 + x * -5)) + 4 = 40
2(6x + (15 + -5x)) + 4 = 40

Reorder the terms:
2(15 + 6x + -5x) + 4 = 40

Combine like terms: 6x + -5x = 1x
2(15 + 1x) + 4 = 40
(15 * 2 + 1x * 2) + 4 = 40
(30 + 2x) + 4 = 40

Reorder the terms:
30 + 4 + 2x = 40

Combine like terms: 30 + 4 = 34
34 + 2x = 40

Solving
34 + 2x = 40

Solving for variable 'x'.

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

Add '-34' to each side of the equation.
34 + -34 + 2x = 40 + -34

Combine like terms: 34 + -34 = 0
0 + 2x = 40 + -34
2x = 40 + -34

Combine like terms: 40 + -34 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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