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

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


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

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

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

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

Combine like terms: -10 + 3 = -7
-7 + 6x + -5x + 4x + 5x = 2

Combine like terms: 6x + -5x = 1x
-7 + 1x + 4x + 5x = 2

Combine like terms: 1x + 4x = 5x
-7 + 5x + 5x = 2

Combine like terms: 5x + 5x = 10x
-7 + 10x = 2

Solving
-7 + 10x = 2

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 10x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + 10x = 2 + 7
10x = 2 + 7

Combine like terms: 2 + 7 = 9
10x = 9

Divide each side by '10'.
x = 0.9

Simplifying
x = 0.9

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