10x+9(x+1)=7(x+2)+7x

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Solution for 10x+9(x+1)=7(x+2)+7x equation:


Simplifying
10x + 9(x + 1) = 7(x + 2) + 7x

Reorder the terms:
10x + 9(1 + x) = 7(x + 2) + 7x
10x + (1 * 9 + x * 9) = 7(x + 2) + 7x
10x + (9 + 9x) = 7(x + 2) + 7x

Reorder the terms:
9 + 10x + 9x = 7(x + 2) + 7x

Combine like terms: 10x + 9x = 19x
9 + 19x = 7(x + 2) + 7x

Reorder the terms:
9 + 19x = 7(2 + x) + 7x
9 + 19x = (2 * 7 + x * 7) + 7x
9 + 19x = (14 + 7x) + 7x

Combine like terms: 7x + 7x = 14x
9 + 19x = 14 + 14x

Solving
9 + 19x = 14 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
9 + 19x + -14x = 14 + 14x + -14x

Combine like terms: 19x + -14x = 5x
9 + 5x = 14 + 14x + -14x

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

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

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

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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