7(x-6)-2+3+10=4(x+3-2)+7x-6

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Solution for 7(x-6)-2+3+10=4(x+3-2)+7x-6 equation: 


Simplifying
7(x + -6) + -2 + 3 + 10 = 4(x + 3 + -2) + 7x + -6

Reorder the terms:
7(-6 + x) + -2 + 3 + 10 = 4(x + 3 + -2) + 7x + -6
(-6 * 7 + x * 7) + -2 + 3 + 10 = 4(x + 3 + -2) + 7x + -6
(-42 + 7x) + -2 + 3 + 10 = 4(x + 3 + -2) + 7x + -6

Reorder the terms:
-42 + -2 + 3 + 10 + 7x = 4(x + 3 + -2) + 7x + -6

Combine like terms: -42 + -2 = -44
-44 + 3 + 10 + 7x = 4(x + 3 + -2) + 7x + -6

Combine like terms: -44 + 3 = -41
-41 + 10 + 7x = 4(x + 3 + -2) + 7x + -6

Combine like terms: -41 + 10 = -31
-31 + 7x = 4(x + 3 + -2) + 7x + -6

Reorder the terms:
-31 + 7x = 4(3 + -2 + x) + 7x + -6

Combine like terms: 3 + -2 = 1
-31 + 7x = 4(1 + x) + 7x + -6
-31 + 7x = (1 * 4 + x * 4) + 7x + -6
-31 + 7x = (4 + 4x) + 7x + -6

Reorder the terms:
-31 + 7x = 4 + -6 + 4x + 7x

Combine like terms: 4 + -6 = -2
-31 + 7x = -2 + 4x + 7x

Combine like terms: 4x + 7x = 11x
-31 + 7x = -2 + 11x

Solving
-31 + 7x = -2 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-31 + 7x + -11x = -2 + 11x + -11x

Combine like terms: 7x + -11x = -4x
-31 + -4x = -2 + 11x + -11x

Combine like terms: 11x + -11x = 0
-31 + -4x = -2 + 0
-31 + -4x = -2

Add '31' to each side of the equation.
-31 + 31 + -4x = -2 + 31

Combine like terms: -31 + 31 = 0
0 + -4x = -2 + 31
-4x = -2 + 31

Combine like terms: -2 + 31 = 29
-4x = 29

Divide each side by '-4'.
x = -7.25

Simplifying
x = -7.25

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