7x+3+2x-5=4(x-1)+2+2x+9

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Solution for 7x+3+2x-5=4(x-1)+2+2x+9 equation:


Simplifying
7x + 3 + 2x + -5 = 4(x + -1) + 2 + 2x + 9

Reorder the terms:
3 + -5 + 7x + 2x = 4(x + -1) + 2 + 2x + 9

Combine like terms: 3 + -5 = -2
-2 + 7x + 2x = 4(x + -1) + 2 + 2x + 9

Combine like terms: 7x + 2x = 9x
-2 + 9x = 4(x + -1) + 2 + 2x + 9

Reorder the terms:
-2 + 9x = 4(-1 + x) + 2 + 2x + 9
-2 + 9x = (-1 * 4 + x * 4) + 2 + 2x + 9
-2 + 9x = (-4 + 4x) + 2 + 2x + 9

Reorder the terms:
-2 + 9x = -4 + 2 + 9 + 4x + 2x

Combine like terms: -4 + 2 = -2
-2 + 9x = -2 + 9 + 4x + 2x

Combine like terms: -2 + 9 = 7
-2 + 9x = 7 + 4x + 2x

Combine like terms: 4x + 2x = 6x
-2 + 9x = 7 + 6x

Solving
-2 + 9x = 7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 9x + -6x = 7 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-2 + 3x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + 3x = 7 + 0
-2 + 3x = 7

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

Combine like terms: -2 + 2 = 0
0 + 3x = 7 + 2
3x = 7 + 2

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

Divide each side by '3'.
x = 3

Simplifying
x = 3

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