7(x+10)+3=-9(x-3)-7

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Solution for 7(x+10)+3=-9(x-3)-7 equation:


Simplifying
7(x + 10) + 3 = -9(x + -3) + -7

Reorder the terms:
7(10 + x) + 3 = -9(x + -3) + -7
(10 * 7 + x * 7) + 3 = -9(x + -3) + -7
(70 + 7x) + 3 = -9(x + -3) + -7

Reorder the terms:
70 + 3 + 7x = -9(x + -3) + -7

Combine like terms: 70 + 3 = 73
73 + 7x = -9(x + -3) + -7

Reorder the terms:
73 + 7x = -9(-3 + x) + -7
73 + 7x = (-3 * -9 + x * -9) + -7
73 + 7x = (27 + -9x) + -7

Reorder the terms:
73 + 7x = 27 + -7 + -9x

Combine like terms: 27 + -7 = 20
73 + 7x = 20 + -9x

Solving
73 + 7x = 20 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
73 + 7x + 9x = 20 + -9x + 9x

Combine like terms: 7x + 9x = 16x
73 + 16x = 20 + -9x + 9x

Combine like terms: -9x + 9x = 0
73 + 16x = 20 + 0
73 + 16x = 20

Add '-73' to each side of the equation.
73 + -73 + 16x = 20 + -73

Combine like terms: 73 + -73 = 0
0 + 16x = 20 + -73
16x = 20 + -73

Combine like terms: 20 + -73 = -53
16x = -53

Divide each side by '16'.
x = -3.3125

Simplifying
x = -3.3125

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