7-2x+3=3x+5

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Solution for 7-2x+3=3x+5 equation:


Simplifying
7 + -2x + 3 = 3x + 5

Reorder the terms:
7 + 3 + -2x = 3x + 5

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

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

Solving
10 + -2x = 5 + 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.
10 + -2x + -3x = 5 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
10 + -5x = 5 + 0
10 + -5x = 5

Add '-10' to each side of the equation.
10 + -10 + -5x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 5 + -10
-5x = 5 + -10

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

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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