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

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


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

Reorder the terms:
3(-5 + 4x) + -2(x + 3) = 2(x + -4)
(-5 * 3 + 4x * 3) + -2(x + 3) = 2(x + -4)
(-15 + 12x) + -2(x + 3) = 2(x + -4)

Reorder the terms:
-15 + 12x + -2(3 + x) = 2(x + -4)
-15 + 12x + (3 * -2 + x * -2) = 2(x + -4)
-15 + 12x + (-6 + -2x) = 2(x + -4)

Reorder the terms:
-15 + -6 + 12x + -2x = 2(x + -4)

Combine like terms: -15 + -6 = -21
-21 + 12x + -2x = 2(x + -4)

Combine like terms: 12x + -2x = 10x
-21 + 10x = 2(x + -4)

Reorder the terms:
-21 + 10x = 2(-4 + x)
-21 + 10x = (-4 * 2 + x * 2)
-21 + 10x = (-8 + 2x)

Solving
-21 + 10x = -8 + 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.
-21 + 10x + -2x = -8 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-21 + 8x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + 8x = -8 + 0
-21 + 8x = -8

Add '21' to each side of the equation.
-21 + 21 + 8x = -8 + 21

Combine like terms: -21 + 21 = 0
0 + 8x = -8 + 21
8x = -8 + 21

Combine like terms: -8 + 21 = 13
8x = 13

Divide each side by '8'.
x = 1.625

Simplifying
x = 1.625

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