7(2x-6)-4x-11=107

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Solution for 7(2x-6)-4x-11=107 equation:


Simplifying
7(2x + -6) + -4x + -11 = 107

Reorder the terms:
7(-6 + 2x) + -4x + -11 = 107
(-6 * 7 + 2x * 7) + -4x + -11 = 107
(-42 + 14x) + -4x + -11 = 107

Reorder the terms:
-42 + -11 + 14x + -4x = 107

Combine like terms: -42 + -11 = -53
-53 + 14x + -4x = 107

Combine like terms: 14x + -4x = 10x
-53 + 10x = 107

Solving
-53 + 10x = 107

Solving for variable 'x'.

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

Add '53' to each side of the equation.
-53 + 53 + 10x = 107 + 53

Combine like terms: -53 + 53 = 0
0 + 10x = 107 + 53
10x = 107 + 53

Combine like terms: 107 + 53 = 160
10x = 160

Divide each side by '10'.
x = 16

Simplifying
x = 16

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