9x-8-7=10x-(3x+7)

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Solution for 9x-8-7=10x-(3x+7) equation:


Simplifying
9x + -8 + -7 = 10x + -1(3x + 7)

Reorder the terms:
-8 + -7 + 9x = 10x + -1(3x + 7)

Combine like terms: -8 + -7 = -15
-15 + 9x = 10x + -1(3x + 7)

Reorder the terms:
-15 + 9x = 10x + -1(7 + 3x)
-15 + 9x = 10x + (7 * -1 + 3x * -1)
-15 + 9x = 10x + (-7 + -3x)

Reorder the terms:
-15 + 9x = -7 + 10x + -3x

Combine like terms: 10x + -3x = 7x
-15 + 9x = -7 + 7x

Solving
-15 + 9x = -7 + 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.
-15 + 9x + -7x = -7 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-15 + 2x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-15 + 2x = -7 + 0
-15 + 2x = -7

Add '15' to each side of the equation.
-15 + 15 + 2x = -7 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = -7 + 15
2x = -7 + 15

Combine like terms: -7 + 15 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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