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

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Solution for 6(x+4)-3=-8(x-7) equation:


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

Reorder the terms:
6(4 + x) + -3 = -8(x + -7)
(4 * 6 + x * 6) + -3 = -8(x + -7)
(24 + 6x) + -3 = -8(x + -7)

Reorder the terms:
24 + -3 + 6x = -8(x + -7)

Combine like terms: 24 + -3 = 21
21 + 6x = -8(x + -7)

Reorder the terms:
21 + 6x = -8(-7 + x)
21 + 6x = (-7 * -8 + x * -8)
21 + 6x = (56 + -8x)

Solving
21 + 6x = 56 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
21 + 6x + 8x = 56 + -8x + 8x

Combine like terms: 6x + 8x = 14x
21 + 14x = 56 + -8x + 8x

Combine like terms: -8x + 8x = 0
21 + 14x = 56 + 0
21 + 14x = 56

Add '-21' to each side of the equation.
21 + -21 + 14x = 56 + -21

Combine like terms: 21 + -21 = 0
0 + 14x = 56 + -21
14x = 56 + -21

Combine like terms: 56 + -21 = 35
14x = 35

Divide each side by '14'.
x = 2.5

Simplifying
x = 2.5

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