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

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


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

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

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

Combine like terms: -10 + 3 = -7
-7 + 6x = -2(4x + -1) + 3

Reorder the terms:
-7 + 6x = -2(-1 + 4x) + 3
-7 + 6x = (-1 * -2 + 4x * -2) + 3
-7 + 6x = (2 + -8x) + 3

Reorder the terms:
-7 + 6x = 2 + 3 + -8x

Combine like terms: 2 + 3 = 5
-7 + 6x = 5 + -8x

Solving
-7 + 6x = 5 + -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.
-7 + 6x + 8x = 5 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-7 + 14x = 5 + -8x + 8x

Combine like terms: -8x + 8x = 0
-7 + 14x = 5 + 0
-7 + 14x = 5

Add '7' to each side of the equation.
-7 + 7 + 14x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 14x = 5 + 7
14x = 5 + 7

Combine like terms: 5 + 7 = 12
14x = 12

Divide each side by '14'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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