2(3x-5)+4(x+2)=3(2x-1)-(4x+5)

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Solution for 2(3x-5)+4(x+2)=3(2x-1)-(4x+5) equation: 


Simplifying
2(3x + -5) + 4(x + 2) = 3(2x + -1) + -1(4x + 5)

Reorder the terms:
2(-5 + 3x) + 4(x + 2) = 3(2x + -1) + -1(4x + 5)
(-5 * 2 + 3x * 2) + 4(x + 2) = 3(2x + -1) + -1(4x + 5)
(-10 + 6x) + 4(x + 2) = 3(2x + -1) + -1(4x + 5)

Reorder the terms:
-10 + 6x + 4(2 + x) = 3(2x + -1) + -1(4x + 5)
-10 + 6x + (2 * 4 + x * 4) = 3(2x + -1) + -1(4x + 5)
-10 + 6x + (8 + 4x) = 3(2x + -1) + -1(4x + 5)

Reorder the terms:
-10 + 8 + 6x + 4x = 3(2x + -1) + -1(4x + 5)

Combine like terms: -10 + 8 = -2
-2 + 6x + 4x = 3(2x + -1) + -1(4x + 5)

Combine like terms: 6x + 4x = 10x
-2 + 10x = 3(2x + -1) + -1(4x + 5)

Reorder the terms:
-2 + 10x = 3(-1 + 2x) + -1(4x + 5)
-2 + 10x = (-1 * 3 + 2x * 3) + -1(4x + 5)
-2 + 10x = (-3 + 6x) + -1(4x + 5)

Reorder the terms:
-2 + 10x = -3 + 6x + -1(5 + 4x)
-2 + 10x = -3 + 6x + (5 * -1 + 4x * -1)
-2 + 10x = -3 + 6x + (-5 + -4x)

Reorder the terms:
-2 + 10x = -3 + -5 + 6x + -4x

Combine like terms: -3 + -5 = -8
-2 + 10x = -8 + 6x + -4x

Combine like terms: 6x + -4x = 2x
-2 + 10x = -8 + 2x

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

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

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

Add '2' to each side of the equation.
-2 + 2 + 8x = -8 + 2

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

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

Divide each side by '8'.
x = -0.75

Simplifying
x = -0.75

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