10-(2x-3)=3x-7

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Solution for 10-(2x-3)=3x-7 equation:


Simplifying
10 + -1(2x + -3) = 3x + -7

Reorder the terms:
10 + -1(-3 + 2x) = 3x + -7
10 + (-3 * -1 + 2x * -1) = 3x + -7
10 + (3 + -2x) = 3x + -7

Combine like terms: 10 + 3 = 13
13 + -2x = 3x + -7

Reorder the terms:
13 + -2x = -7 + 3x

Solving
13 + -2x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
13 + -2x + -3x = -7 + 3x + -3x

Combine like terms: -2x + -3x = -5x
13 + -5x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -5x = -7 + 0
13 + -5x = -7

Add '-13' to each side of the equation.
13 + -13 + -5x = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = -7 + -13
-5x = -7 + -13

Combine like terms: -7 + -13 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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