4x-9-6x=2(x+5)-3

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Solution for 4x-9-6x=2(x+5)-3 equation:


Simplifying
4x + -9 + -6x = 2(x + 5) + -3

Reorder the terms:
-9 + 4x + -6x = 2(x + 5) + -3

Combine like terms: 4x + -6x = -2x
-9 + -2x = 2(x + 5) + -3

Reorder the terms:
-9 + -2x = 2(5 + x) + -3
-9 + -2x = (5 * 2 + x * 2) + -3
-9 + -2x = (10 + 2x) + -3

Reorder the terms:
-9 + -2x = 10 + -3 + 2x

Combine like terms: 10 + -3 = 7
-9 + -2x = 7 + 2x

Solving
-9 + -2x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + -2x + -2x = 7 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-9 + -4x = 7 + 0
-9 + -4x = 7

Add '9' to each side of the equation.
-9 + 9 + -4x = 7 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = 7 + 9
-4x = 7 + 9

Combine like terms: 7 + 9 = 16
-4x = 16

Divide each side by '-4'.
x = -4

Simplifying
x = -4

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