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

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


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

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

Remove parenthesis around (10 + 7x)
10 + 7x = (3x + -9)

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

Remove parenthesis around (-9 + 3x)
10 + 7x = -9 + 3x

Solving
10 + 7x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 7x + -3x = -9 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
10 + 4x = -9 + 0
10 + 4x = -9

Add '-10' to each side of the equation.
10 + -10 + 4x = -9 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = -9 + -10
4x = -9 + -10

Combine like terms: -9 + -10 = -19
4x = -19

Divide each side by '4'.
x = -4.75

Simplifying
x = -4.75

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