9(x+10)+4=-7(x-1)-3

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Solution for 9(x+10)+4=-7(x-1)-3 equation:


Simplifying
9(x + 10) + 4 = -7(x + -1) + -3

Reorder the terms:
9(10 + x) + 4 = -7(x + -1) + -3
(10 * 9 + x * 9) + 4 = -7(x + -1) + -3
(90 + 9x) + 4 = -7(x + -1) + -3

Reorder the terms:
90 + 4 + 9x = -7(x + -1) + -3

Combine like terms: 90 + 4 = 94
94 + 9x = -7(x + -1) + -3

Reorder the terms:
94 + 9x = -7(-1 + x) + -3
94 + 9x = (-1 * -7 + x * -7) + -3
94 + 9x = (7 + -7x) + -3

Reorder the terms:
94 + 9x = 7 + -3 + -7x

Combine like terms: 7 + -3 = 4
94 + 9x = 4 + -7x

Solving
94 + 9x = 4 + -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.
94 + 9x + 7x = 4 + -7x + 7x

Combine like terms: 9x + 7x = 16x
94 + 16x = 4 + -7x + 7x

Combine like terms: -7x + 7x = 0
94 + 16x = 4 + 0
94 + 16x = 4

Add '-94' to each side of the equation.
94 + -94 + 16x = 4 + -94

Combine like terms: 94 + -94 = 0
0 + 16x = 4 + -94
16x = 4 + -94

Combine like terms: 4 + -94 = -90
16x = -90

Divide each side by '16'.
x = -5.625

Simplifying
x = -5.625

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