7(x-6)-4=31x-142

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Solution for 7(x-6)-4=31x-142 equation:


Simplifying
7(x + -6) + -4 = 31x + -142

Reorder the terms:
7(-6 + x) + -4 = 31x + -142
(-6 * 7 + x * 7) + -4 = 31x + -142
(-42 + 7x) + -4 = 31x + -142

Reorder the terms:
-42 + -4 + 7x = 31x + -142

Combine like terms: -42 + -4 = -46
-46 + 7x = 31x + -142

Reorder the terms:
-46 + 7x = -142 + 31x

Solving
-46 + 7x = -142 + 31x

Solving for variable 'x'.

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

Add '-31x' to each side of the equation.
-46 + 7x + -31x = -142 + 31x + -31x

Combine like terms: 7x + -31x = -24x
-46 + -24x = -142 + 31x + -31x

Combine like terms: 31x + -31x = 0
-46 + -24x = -142 + 0
-46 + -24x = -142

Add '46' to each side of the equation.
-46 + 46 + -24x = -142 + 46

Combine like terms: -46 + 46 = 0
0 + -24x = -142 + 46
-24x = -142 + 46

Combine like terms: -142 + 46 = -96
-24x = -96

Divide each side by '-24'.
x = 4

Simplifying
x = 4

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