7(-2x+4)+6=7x-21

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Solution for 7(-2x+4)+6=7x-21 equation:


Simplifying
7(-2x + 4) + 6 = 7x + -21

Reorder the terms:
7(4 + -2x) + 6 = 7x + -21
(4 * 7 + -2x * 7) + 6 = 7x + -21
(28 + -14x) + 6 = 7x + -21

Reorder the terms:
28 + 6 + -14x = 7x + -21

Combine like terms: 28 + 6 = 34
34 + -14x = 7x + -21

Reorder the terms:
34 + -14x = -21 + 7x

Solving
34 + -14x = -21 + 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.
34 + -14x + -7x = -21 + 7x + -7x

Combine like terms: -14x + -7x = -21x
34 + -21x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
34 + -21x = -21 + 0
34 + -21x = -21

Add '-34' to each side of the equation.
34 + -34 + -21x = -21 + -34

Combine like terms: 34 + -34 = 0
0 + -21x = -21 + -34
-21x = -21 + -34

Combine like terms: -21 + -34 = -55
-21x = -55

Divide each side by '-21'.
x = 2.619047619

Simplifying
x = 2.619047619

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