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

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


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

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

Reorder the terms:
-6 + 3x + -4(3 + 2x) = 5x
-6 + 3x + (3 * -4 + 2x * -4) = 5x
-6 + 3x + (-12 + -8x) = 5x

Reorder the terms:
-6 + -12 + 3x + -8x = 5x

Combine like terms: -6 + -12 = -18
-18 + 3x + -8x = 5x

Combine like terms: 3x + -8x = -5x
-18 + -5x = 5x

Solving
-18 + -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.
-18 + -5x + -5x = 5x + -5x

Combine like terms: -5x + -5x = -10x
-18 + -10x = 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + -10x = 0

Add '18' to each side of the equation.
-18 + 18 + -10x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -10x = 0 + 18
-10x = 0 + 18

Combine like terms: 0 + 18 = 18
-10x = 18

Divide each side by '-10'.
x = -1.8

Simplifying
x = -1.8

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