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

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


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

Reorder the terms:
-2(-3 + x) + 9 = 4x + -7
(-3 * -2 + x * -2) + 9 = 4x + -7
(6 + -2x) + 9 = 4x + -7

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

Combine like terms: 6 + 9 = 15
15 + -2x = 4x + -7

Reorder the terms:
15 + -2x = -7 + 4x

Solving
15 + -2x = -7 + 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.
15 + -2x + -4x = -7 + 4x + -4x

Combine like terms: -2x + -4x = -6x
15 + -6x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -6x = -7 + 0
15 + -6x = -7

Add '-15' to each side of the equation.
15 + -15 + -6x = -7 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = -7 + -15
-6x = -7 + -15

Combine like terms: -7 + -15 = -22
-6x = -22

Divide each side by '-6'.
x = 3.666666667

Simplifying
x = 3.666666667

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