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

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


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

Reorder the terms:
4(-2 + x) + 3 = 2x + -9
(-2 * 4 + x * 4) + 3 = 2x + -9
(-8 + 4x) + 3 = 2x + -9

Reorder the terms:
-8 + 3 + 4x = 2x + -9

Combine like terms: -8 + 3 = -5
-5 + 4x = 2x + -9

Reorder the terms:
-5 + 4x = -9 + 2x

Solving
-5 + 4x = -9 + 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.
-5 + 4x + -2x = -9 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-5 + 2x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 2x = -9 + 0
-5 + 2x = -9

Add '5' to each side of the equation.
-5 + 5 + 2x = -9 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = -9 + 5
2x = -9 + 5

Combine like terms: -9 + 5 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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