3x-10+4x=5x-7

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Solution for 3x-10+4x=5x-7 equation:


Simplifying
3x + -10 + 4x = 5x + -7

Reorder the terms:
-10 + 3x + 4x = 5x + -7

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

Reorder the terms:
-10 + 7x = -7 + 5x

Solving
-10 + 7x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + 7x + -5x = -7 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-10 + 2x = -7 + 0
-10 + 2x = -7

Add '10' to each side of the equation.
-10 + 10 + 2x = -7 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = -7 + 10
2x = -7 + 10

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

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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