10x-(4x-7)=31

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Solution for 10x-(4x-7)=31 equation:


Simplifying
10x + -1(4x + -7) = 31

Reorder the terms:
10x + -1(-7 + 4x) = 31
10x + (-7 * -1 + 4x * -1) = 31
10x + (7 + -4x) = 31

Reorder the terms:
7 + 10x + -4x = 31

Combine like terms: 10x + -4x = 6x
7 + 6x = 31

Solving
7 + 6x = 31

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 6x = 31 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 31 + -7
6x = 31 + -7

Combine like terms: 31 + -7 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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