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

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Solution for 10(x-1)-7(x+1)=4 equation:


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

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

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

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

Combine like terms: -10 + -7 = -17
-17 + 10x + -7x = 4

Combine like terms: 10x + -7x = 3x
-17 + 3x = 4

Solving
-17 + 3x = 4

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 3x = 4 + 17

Combine like terms: -17 + 17 = 0
0 + 3x = 4 + 17
3x = 4 + 17

Combine like terms: 4 + 17 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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