107=(4x+2)+(3x-7)

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Solution for 107=(4x+2)+(3x-7) equation:


Simplifying
107 = (4x + 2) + (3x + -7)

Reorder the terms:
107 = (2 + 4x) + (3x + -7)

Remove parenthesis around (2 + 4x)
107 = 2 + 4x + (3x + -7)

Reorder the terms:
107 = 2 + 4x + (-7 + 3x)

Remove parenthesis around (-7 + 3x)
107 = 2 + 4x + -7 + 3x

Reorder the terms:
107 = 2 + -7 + 4x + 3x

Combine like terms: 2 + -7 = -5
107 = -5 + 4x + 3x

Combine like terms: 4x + 3x = 7x
107 = -5 + 7x

Solving
107 = -5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
107 + -7x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
107 + -7x = -5 + 0
107 + -7x = -5

Add '-107' to each side of the equation.
107 + -107 + -7x = -5 + -107

Combine like terms: 107 + -107 = 0
0 + -7x = -5 + -107
-7x = -5 + -107

Combine like terms: -5 + -107 = -112
-7x = -112

Divide each side by '-7'.
x = 16

Simplifying
x = 16

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