10x-(2x+1)+3x=6-(4x-3)

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Solution for 10x-(2x+1)+3x=6-(4x-3) equation:


Simplifying
10x + -1(2x + 1) + 3x = 6 + -1(4x + -3)

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

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

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

Combine like terms: 8x + 3x = 11x
-1 + 11x = 6 + -1(4x + -3)

Reorder the terms:
-1 + 11x = 6 + -1(-3 + 4x)
-1 + 11x = 6 + (-3 * -1 + 4x * -1)
-1 + 11x = 6 + (3 + -4x)

Combine like terms: 6 + 3 = 9
-1 + 11x = 9 + -4x

Solving
-1 + 11x = 9 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-1 + 11x + 4x = 9 + -4x + 4x

Combine like terms: 11x + 4x = 15x
-1 + 15x = 9 + -4x + 4x

Combine like terms: -4x + 4x = 0
-1 + 15x = 9 + 0
-1 + 15x = 9

Add '1' to each side of the equation.
-1 + 1 + 15x = 9 + 1

Combine like terms: -1 + 1 = 0
0 + 15x = 9 + 1
15x = 9 + 1

Combine like terms: 9 + 1 = 10
15x = 10

Divide each side by '15'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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