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

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


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

Reorder the terms:
7(4 + 5 + x) = -4(x + -3) + 2x

Combine like terms: 4 + 5 = 9
7(9 + x) = -4(x + -3) + 2x
(9 * 7 + x * 7) = -4(x + -3) + 2x
(63 + 7x) = -4(x + -3) + 2x

Reorder the terms:
63 + 7x = -4(-3 + x) + 2x
63 + 7x = (-3 * -4 + x * -4) + 2x
63 + 7x = (12 + -4x) + 2x

Combine like terms: -4x + 2x = -2x
63 + 7x = 12 + -2x

Solving
63 + 7x = 12 + -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.
63 + 7x + 2x = 12 + -2x + 2x

Combine like terms: 7x + 2x = 9x
63 + 9x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
63 + 9x = 12 + 0
63 + 9x = 12

Add '-63' to each side of the equation.
63 + -63 + 9x = 12 + -63

Combine like terms: 63 + -63 = 0
0 + 9x = 12 + -63
9x = 12 + -63

Combine like terms: 12 + -63 = -51
9x = -51

Divide each side by '9'.
x = -5.666666667

Simplifying
x = -5.666666667

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