23-3(2x+4)=4x-17

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Solution for 23-3(2x+4)=4x-17 equation:


Simplifying
23 + -3(2x + 4) = 4x + -17

Reorder the terms:
23 + -3(4 + 2x) = 4x + -17
23 + (4 * -3 + 2x * -3) = 4x + -17
23 + (-12 + -6x) = 4x + -17

Combine like terms: 23 + -12 = 11
11 + -6x = 4x + -17

Reorder the terms:
11 + -6x = -17 + 4x

Solving
11 + -6x = -17 + 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.
11 + -6x + -4x = -17 + 4x + -4x

Combine like terms: -6x + -4x = -10x
11 + -10x = -17 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -10x = -17 + 0
11 + -10x = -17

Add '-11' to each side of the equation.
11 + -11 + -10x = -17 + -11

Combine like terms: 11 + -11 = 0
0 + -10x = -17 + -11
-10x = -17 + -11

Combine like terms: -17 + -11 = -28
-10x = -28

Divide each side by '-10'.
x = 2.8

Simplifying
x = 2.8

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