x+3-4x+7=2x-5

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Solution for x+3-4x+7=2x-5 equation: 


Simplifying
x + 3 + -4x + 7 = 2x + -5

Reorder the terms:
3 + 7 + x + -4x = 2x + -5

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

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

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

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

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

Combine like terms: 2x + -2x = 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 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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