4(x-2)+14=9x-15

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Solution for 4(x-2)+14=9x-15 equation:


Simplifying
4(x + -2) + 14 = 9x + -15

Reorder the terms:
4(-2 + x) + 14 = 9x + -15
(-2 * 4 + x * 4) + 14 = 9x + -15
(-8 + 4x) + 14 = 9x + -15

Reorder the terms:
-8 + 14 + 4x = 9x + -15

Combine like terms: -8 + 14 = 6
6 + 4x = 9x + -15

Reorder the terms:
6 + 4x = -15 + 9x

Solving
6 + 4x = -15 + 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.
6 + 4x + -9x = -15 + 9x + -9x

Combine like terms: 4x + -9x = -5x
6 + -5x = -15 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -5x = -15 + 0
6 + -5x = -15

Add '-6' to each side of the equation.
6 + -6 + -5x = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -15 + -6
-5x = -15 + -6

Combine like terms: -15 + -6 = -21
-5x = -21

Divide each side by '-5'.
x = 4.2

Simplifying
x = 4.2

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