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

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


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

Reorder the terms:
4x + 3(-7 + x) = 4(x + -3)
4x + (-7 * 3 + x * 3) = 4(x + -3)
4x + (-21 + 3x) = 4(x + -3)

Reorder the terms:
-21 + 4x + 3x = 4(x + -3)

Combine like terms: 4x + 3x = 7x
-21 + 7x = 4(x + -3)

Reorder the terms:
-21 + 7x = 4(-3 + x)
-21 + 7x = (-3 * 4 + x * 4)
-21 + 7x = (-12 + 4x)

Solving
-21 + 7x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-21 + 7x + -4x = -12 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-21 + 3x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + 3x = -12 + 0
-21 + 3x = -12

Add '21' to each side of the equation.
-21 + 21 + 3x = -12 + 21

Combine like terms: -21 + 21 = 0
0 + 3x = -12 + 21
3x = -12 + 21

Combine like terms: -12 + 21 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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