4(x-7)=3x-6

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Solution for 4(x-7)=3x-6 equation:


Simplifying
4(x + -7) = 3x + -6

Reorder the terms:
4(-7 + x) = 3x + -6
(-7 * 4 + x * 4) = 3x + -6
(-28 + 4x) = 3x + -6

Reorder the terms:
-28 + 4x = -6 + 3x

Solving
-28 + 4x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-28 + 4x + -3x = -6 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-28 + 1x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + 1x = -6 + 0
-28 + 1x = -6

Add '28' to each side of the equation.
-28 + 28 + 1x = -6 + 28

Combine like terms: -28 + 28 = 0
0 + 1x = -6 + 28
1x = -6 + 28

Combine like terms: -6 + 28 = 22
1x = 22

Divide each side by '1'.
x = 22

Simplifying
x = 22

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