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

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


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

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

Combine like terms: 10 + 1 = 11
11 + -3x = 4 + (2x + 3)

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

Remove parenthesis around (3 + 2x)
11 + -3x = 4 + 3 + 2x

Combine like terms: 4 + 3 = 7
11 + -3x = 7 + 2x

Solving
11 + -3x = 7 + 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.
11 + -3x + -2x = 7 + 2x + -2x

Combine like terms: -3x + -2x = -5x
11 + -5x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -5x = 7 + 0
11 + -5x = 7

Add '-11' to each side of the equation.
11 + -11 + -5x = 7 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = 7 + -11
-5x = 7 + -11

Combine like terms: 7 + -11 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

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