14-9x=13+7(x-3)

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Solution for 14-9x=13+7(x-3) equation:


Simplifying
14 + -9x = 13 + 7(x + -3)

Reorder the terms:
14 + -9x = 13 + 7(-3 + x)
14 + -9x = 13 + (-3 * 7 + x * 7)
14 + -9x = 13 + (-21 + 7x)

Combine like terms: 13 + -21 = -8
14 + -9x = -8 + 7x

Solving
14 + -9x = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
14 + -9x + -7x = -8 + 7x + -7x

Combine like terms: -9x + -7x = -16x
14 + -16x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
14 + -16x = -8 + 0
14 + -16x = -8

Add '-14' to each side of the equation.
14 + -14 + -16x = -8 + -14

Combine like terms: 14 + -14 = 0
0 + -16x = -8 + -14
-16x = -8 + -14

Combine like terms: -8 + -14 = -22
-16x = -22

Divide each side by '-16'.
x = 1.375

Simplifying
x = 1.375

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