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

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


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

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

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

Reorder the terms:
-12 + -12 + 3x + -8x = 5x

Combine like terms: -12 + -12 = -24
-24 + 3x + -8x = 5x

Combine like terms: 3x + -8x = -5x
-24 + -5x = 5x

Solving
-24 + -5x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-24 + -5x + -5x = 5x + -5x

Combine like terms: -5x + -5x = -10x
-24 + -10x = 5x + -5x

Combine like terms: 5x + -5x = 0
-24 + -10x = 0

Add '24' to each side of the equation.
-24 + 24 + -10x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -10x = 0 + 24
-10x = 0 + 24

Combine like terms: 0 + 24 = 24
-10x = 24

Divide each side by '-10'.
x = -2.4

Simplifying
x = -2.4

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