=4(3x+7)+3(2x-1)-5(4x-3)

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Solution for =4(3x+7)+3(2x-1)-5(4x-3) equation:


Simplifying
0 = 4(3x + 7) + 3(2x + -1) + -5(4x + -3)

Reorder the terms:
0 = 4(7 + 3x) + 3(2x + -1) + -5(4x + -3)
0 = (7 * 4 + 3x * 4) + 3(2x + -1) + -5(4x + -3)
0 = (28 + 12x) + 3(2x + -1) + -5(4x + -3)

Reorder the terms:
0 = 28 + 12x + 3(-1 + 2x) + -5(4x + -3)
0 = 28 + 12x + (-1 * 3 + 2x * 3) + -5(4x + -3)
0 = 28 + 12x + (-3 + 6x) + -5(4x + -3)

Reorder the terms:
0 = 28 + 12x + -3 + 6x + -5(-3 + 4x)
0 = 28 + 12x + -3 + 6x + (-3 * -5 + 4x * -5)
0 = 28 + 12x + -3 + 6x + (15 + -20x)

Reorder the terms:
0 = 28 + -3 + 15 + 12x + 6x + -20x

Combine like terms: 28 + -3 = 25
0 = 25 + 15 + 12x + 6x + -20x

Combine like terms: 25 + 15 = 40
0 = 40 + 12x + 6x + -20x

Combine like terms: 12x + 6x = 18x
0 = 40 + 18x + -20x

Combine like terms: 18x + -20x = -2x
0 = 40 + -2x

Solving
0 = 40 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
0 + 2x = 40 + -2x + 2x
Remove the zero:
2x = 40 + -2x + 2x

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

Divide each side by '2'.
x = 20

Simplifying
x = 20

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