7x-(3x+5)=10x+9+8x

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Solution for 7x-(3x+5)=10x+9+8x equation:


Simplifying
7x + -1(3x + 5) = 10x + 9 + 8x

Reorder the terms:
7x + -1(5 + 3x) = 10x + 9 + 8x
7x + (5 * -1 + 3x * -1) = 10x + 9 + 8x
7x + (-5 + -3x) = 10x + 9 + 8x

Reorder the terms:
-5 + 7x + -3x = 10x + 9 + 8x

Combine like terms: 7x + -3x = 4x
-5 + 4x = 10x + 9 + 8x

Reorder the terms:
-5 + 4x = 9 + 10x + 8x

Combine like terms: 10x + 8x = 18x
-5 + 4x = 9 + 18x

Solving
-5 + 4x = 9 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-5 + 4x + -18x = 9 + 18x + -18x

Combine like terms: 4x + -18x = -14x
-5 + -14x = 9 + 18x + -18x

Combine like terms: 18x + -18x = 0
-5 + -14x = 9 + 0
-5 + -14x = 9

Add '5' to each side of the equation.
-5 + 5 + -14x = 9 + 5

Combine like terms: -5 + 5 = 0
0 + -14x = 9 + 5
-14x = 9 + 5

Combine like terms: 9 + 5 = 14
-14x = 14

Divide each side by '-14'.
x = -1

Simplifying
x = -1

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