9(x+7)+2=-7(x-11)-4

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Solution for 9(x+7)+2=-7(x-11)-4 equation:


Simplifying
9(x + 7) + 2 = -7(x + -11) + -4

Reorder the terms:
9(7 + x) + 2 = -7(x + -11) + -4
(7 * 9 + x * 9) + 2 = -7(x + -11) + -4
(63 + 9x) + 2 = -7(x + -11) + -4

Reorder the terms:
63 + 2 + 9x = -7(x + -11) + -4

Combine like terms: 63 + 2 = 65
65 + 9x = -7(x + -11) + -4

Reorder the terms:
65 + 9x = -7(-11 + x) + -4
65 + 9x = (-11 * -7 + x * -7) + -4
65 + 9x = (77 + -7x) + -4

Reorder the terms:
65 + 9x = 77 + -4 + -7x

Combine like terms: 77 + -4 = 73
65 + 9x = 73 + -7x

Solving
65 + 9x = 73 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
65 + 9x + 7x = 73 + -7x + 7x

Combine like terms: 9x + 7x = 16x
65 + 16x = 73 + -7x + 7x

Combine like terms: -7x + 7x = 0
65 + 16x = 73 + 0
65 + 16x = 73

Add '-65' to each side of the equation.
65 + -65 + 16x = 73 + -65

Combine like terms: 65 + -65 = 0
0 + 16x = 73 + -65
16x = 73 + -65

Combine like terms: 73 + -65 = 8
16x = 8

Divide each side by '16'.
x = 0.5

Simplifying
x = 0.5

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