4(x-7)=6x-21

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


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

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

Reorder the terms:
-28 + 4x = -21 + 6x

Solving
-28 + 4x = -21 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-28 + 4x + -6x = -21 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-28 + -2x = -21 + 6x + -6x

Combine like terms: 6x + -6x = 0
-28 + -2x = -21 + 0
-28 + -2x = -21

Add '28' to each side of the equation.
-28 + 28 + -2x = -21 + 28

Combine like terms: -28 + 28 = 0
0 + -2x = -21 + 28
-2x = -21 + 28

Combine like terms: -21 + 28 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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