7x+2-5(x-1)=9x+3

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Solution for 7x+2-5(x-1)=9x+3 equation:


Simplifying
7x + 2 + -5(x + -1) = 9x + 3

Reorder the terms:
7x + 2 + -5(-1 + x) = 9x + 3
7x + 2 + (-1 * -5 + x * -5) = 9x + 3
7x + 2 + (5 + -5x) = 9x + 3

Reorder the terms:
2 + 5 + 7x + -5x = 9x + 3

Combine like terms: 2 + 5 = 7
7 + 7x + -5x = 9x + 3

Combine like terms: 7x + -5x = 2x
7 + 2x = 9x + 3

Reorder the terms:
7 + 2x = 3 + 9x

Solving
7 + 2x = 3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
7 + 2x + -9x = 3 + 9x + -9x

Combine like terms: 2x + -9x = -7x
7 + -7x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
7 + -7x = 3 + 0
7 + -7x = 3

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

Combine like terms: 7 + -7 = 0
0 + -7x = 3 + -7
-7x = 3 + -7

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

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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