2x+9-7(x+1)=4x+6

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Solution for 2x+9-7(x+1)=4x+6 equation:


Simplifying
2x + 9 + -7(x + 1) = 4x + 6

Reorder the terms:
2x + 9 + -7(1 + x) = 4x + 6
2x + 9 + (1 * -7 + x * -7) = 4x + 6
2x + 9 + (-7 + -7x) = 4x + 6

Reorder the terms:
9 + -7 + 2x + -7x = 4x + 6

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

Combine like terms: 2x + -7x = -5x
2 + -5x = 4x + 6

Reorder the terms:
2 + -5x = 6 + 4x

Solving
2 + -5x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + -5x + -4x = 6 + 4x + -4x

Combine like terms: -5x + -4x = -9x
2 + -9x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -9x = 6 + 0
2 + -9x = 6

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

Combine like terms: 2 + -2 = 0
0 + -9x = 6 + -2
-9x = 6 + -2

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

Divide each side by '-9'.
x = -0.4444444444

Simplifying
x = -0.4444444444

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