7(3X+4)=10x+8+10(x-2)

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Solution for 7(3X+4)=10x+8+10(x-2) equation:


Simplifying
7(3X + 4) = 10x + 8 + 10(x + -2)

Reorder the terms:
7(4 + 3X) = 10x + 8 + 10(x + -2)
(4 * 7 + 3X * 7) = 10x + 8 + 10(x + -2)
(28 + 21X) = 10x + 8 + 10(x + -2)

Reorder the terms:
28 + 21X = 10x + 8 + 10(-2 + x)
28 + 21X = 10x + 8 + (-2 * 10 + x * 10)
28 + 21X = 10x + 8 + (-20 + 10x)

Reorder the terms:
28 + 21X = 8 + -20 + 10x + 10x

Combine like terms: 8 + -20 = -12
28 + 21X = -12 + 10x + 10x

Combine like terms: 10x + 10x = 20x
28 + 21X = -12 + 20x

Solving
28 + 21X = -12 + 20x

Solving for variable 'X'.

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

Add '-28' to each side of the equation.
28 + -28 + 21X = -12 + -28 + 20x

Combine like terms: 28 + -28 = 0
0 + 21X = -12 + -28 + 20x
21X = -12 + -28 + 20x

Combine like terms: -12 + -28 = -40
21X = -40 + 20x

Divide each side by '21'.
X = -1.904761905 + 0.9523809524x

Simplifying
X = -1.904761905 + 0.9523809524x

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