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

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


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

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

Reorder the terms:
21 + 8x + -3x = 4(3x + 2)

Combine like terms: 8x + -3x = 5x
21 + 5x = 4(3x + 2)

Reorder the terms:
21 + 5x = 4(2 + 3x)
21 + 5x = (2 * 4 + 3x * 4)
21 + 5x = (8 + 12x)

Solving
21 + 5x = 8 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
21 + 5x + -12x = 8 + 12x + -12x

Combine like terms: 5x + -12x = -7x
21 + -7x = 8 + 12x + -12x

Combine like terms: 12x + -12x = 0
21 + -7x = 8 + 0
21 + -7x = 8

Add '-21' to each side of the equation.
21 + -21 + -7x = 8 + -21

Combine like terms: 21 + -21 = 0
0 + -7x = 8 + -21
-7x = 8 + -21

Combine like terms: 8 + -21 = -13
-7x = -13

Divide each side by '-7'.
x = 1.857142857

Simplifying
x = 1.857142857

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