9-2(5+3)=10(X-5)-7

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Solution for 9-2(5+3)=10(X-5)-7 equation:


Simplifying
9 + -2(5 + 3) = 10(X + -5) + -7

Combine like terms: 5 + 3 = 8
9 + -2(8) = 10(X + -5) + -7

Multiply -2 * 8
9 + -16 = 10(X + -5) + -7

Combine like terms: 9 + -16 = -7
-7 = 10(X + -5) + -7

Reorder the terms:
-7 = 10(-5 + X) + -7
-7 = (-5 * 10 + X * 10) + -7
-7 = (-50 + 10X) + -7

Reorder the terms:
-7 = -50 + -7 + 10X

Combine like terms: -50 + -7 = -57
-7 = -57 + 10X

Solving
-7 = -57 + 10X

Solving for variable 'X'.

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

Add '-10X' to each side of the equation.
-7 + -10X = -57 + 10X + -10X

Combine like terms: 10X + -10X = 0
-7 + -10X = -57 + 0
-7 + -10X = -57

Add '7' to each side of the equation.
-7 + 7 + -10X = -57 + 7

Combine like terms: -7 + 7 = 0
0 + -10X = -57 + 7
-10X = -57 + 7

Combine like terms: -57 + 7 = -50
-10X = -50

Divide each side by '-10'.
X = 5

Simplifying
X = 5

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