14-7(x+1)=3x-9

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Solution for 14-7(x+1)=3x-9 equation:


Simplifying
14 + -7(x + 1) = 3x + -9

Reorder the terms:
14 + -7(1 + x) = 3x + -9
14 + (1 * -7 + x * -7) = 3x + -9
14 + (-7 + -7x) = 3x + -9

Combine like terms: 14 + -7 = 7
7 + -7x = 3x + -9

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

Solving
7 + -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.
7 + -7x + -3x = -9 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
7 + -10x = -9 + 0
7 + -10x = -9

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

Combine like terms: 7 + -7 = 0
0 + -10x = -9 + -7
-10x = -9 + -7

Combine like terms: -9 + -7 = -16
-10x = -16

Divide each side by '-10'.
x = 1.6

Simplifying
x = 1.6

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