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

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


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

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

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

Combine like terms: 3x + 4x = 7x
-28 + 7x = 3(x + -4)

Reorder the terms:
-28 + 7x = 3(-4 + x)
-28 + 7x = (-4 * 3 + x * 3)
-28 + 7x = (-12 + 3x)

Solving
-28 + 7x = -12 + 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 + 7x + -3x = -12 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-28 + 4x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + 4x = -12 + 0
-28 + 4x = -12

Add '28' to each side of the equation.
-28 + 28 + 4x = -12 + 28

Combine like terms: -28 + 28 = 0
0 + 4x = -12 + 28
4x = -12 + 28

Combine like terms: -12 + 28 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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