5x-4(2x+3)=2x-17

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Solution for 5x-4(2x+3)=2x-17 equation:


Simplifying
5x + -4(2x + 3) = 2x + -17

Reorder the terms:
5x + -4(3 + 2x) = 2x + -17
5x + (3 * -4 + 2x * -4) = 2x + -17
5x + (-12 + -8x) = 2x + -17

Reorder the terms:
-12 + 5x + -8x = 2x + -17

Combine like terms: 5x + -8x = -3x
-12 + -3x = 2x + -17

Reorder the terms:
-12 + -3x = -17 + 2x

Solving
-12 + -3x = -17 + 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.
-12 + -3x + -2x = -17 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-12 + -5x = -17 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + -5x = -17 + 0
-12 + -5x = -17

Add '12' to each side of the equation.
-12 + 12 + -5x = -17 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = -17 + 12
-5x = -17 + 12

Combine like terms: -17 + 12 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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