6(x+5)=7(x-(3-x))

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Solution for 6(x+5)=7(x-(3-x)) equation: 


Simplifying
6(x + 5) = 7(x + -1(3 + -1x))

Reorder the terms:
6(5 + x) = 7(x + -1(3 + -1x))
(5 * 6 + x * 6) = 7(x + -1(3 + -1x))
(30 + 6x) = 7(x + -1(3 + -1x))
30 + 6x = 7(x + (3 * -1 + -1x * -1))
30 + 6x = 7(x + (-3 + 1x))

Reorder the terms:
30 + 6x = 7(-3 + x + 1x)

Combine like terms: x + 1x = 2x
30 + 6x = 7(-3 + 2x)
30 + 6x = (-3 * 7 + 2x * 7)
30 + 6x = (-21 + 14x)

Solving
30 + 6x = -21 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
30 + 6x + -14x = -21 + 14x + -14x

Combine like terms: 6x + -14x = -8x
30 + -8x = -21 + 14x + -14x

Combine like terms: 14x + -14x = 0
30 + -8x = -21 + 0
30 + -8x = -21

Add '-30' to each side of the equation.
30 + -30 + -8x = -21 + -30

Combine like terms: 30 + -30 = 0
0 + -8x = -21 + -30
-8x = -21 + -30

Combine like terms: -21 + -30 = -51
-8x = -51

Divide each side by '-8'.
x = 6.375

Simplifying
x = 6.375

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