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

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


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

Reorder the terms:
3(-5 + 2x) + 4 = 2(4x + 3)
(-5 * 3 + 2x * 3) + 4 = 2(4x + 3)
(-15 + 6x) + 4 = 2(4x + 3)

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

Combine like terms: -15 + 4 = -11
-11 + 6x = 2(4x + 3)

Reorder the terms:
-11 + 6x = 2(3 + 4x)
-11 + 6x = (3 * 2 + 4x * 2)
-11 + 6x = (6 + 8x)

Solving
-11 + 6x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-11 + 6x + -8x = 6 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-11 + -2x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-11 + -2x = 6 + 0
-11 + -2x = 6

Add '11' to each side of the equation.
-11 + 11 + -2x = 6 + 11

Combine like terms: -11 + 11 = 0
0 + -2x = 6 + 11
-2x = 6 + 11

Combine like terms: 6 + 11 = 17
-2x = 17

Divide each side by '-2'.
x = -8.5

Simplifying
x = -8.5

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