10x-7=4x+5

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


Simplifying
10x + -7 = 4x + 5

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

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

Solving
-7 + 10x = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-7 + 10x + -4x = 5 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-7 + 6x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 6x = 5 + 0
-7 + 6x = 5

Add '7' to each side of the equation.
-7 + 7 + 6x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 5 + 7
6x = 5 + 7

Combine like terms: 5 + 7 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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