4x-20+3x+6=7x+14+7x-35

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Solution for 4x-20+3x+6=7x+14+7x-35 equation:


Simplifying
4x + -20 + 3x + 6 = 7x + 14 + 7x + -35

Reorder the terms:
-20 + 6 + 4x + 3x = 7x + 14 + 7x + -35

Combine like terms: -20 + 6 = -14
-14 + 4x + 3x = 7x + 14 + 7x + -35

Combine like terms: 4x + 3x = 7x
-14 + 7x = 7x + 14 + 7x + -35

Reorder the terms:
-14 + 7x = 14 + -35 + 7x + 7x

Combine like terms: 14 + -35 = -21
-14 + 7x = -21 + 7x + 7x

Combine like terms: 7x + 7x = 14x
-14 + 7x = -21 + 14x

Solving
-14 + 7x = -21 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-14 + 7x + -14x = -21 + 14x + -14x

Combine like terms: 7x + -14x = -7x
-14 + -7x = -21 + 14x + -14x

Combine like terms: 14x + -14x = 0
-14 + -7x = -21 + 0
-14 + -7x = -21

Add '14' to each side of the equation.
-14 + 14 + -7x = -21 + 14

Combine like terms: -14 + 14 = 0
0 + -7x = -21 + 14
-7x = -21 + 14

Combine like terms: -21 + 14 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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