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

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


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

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

Combine like terms: 4 + -21 = -17
-17 + 3x = 7(x + -7)

Reorder the terms:
-17 + 3x = 7(-7 + x)
-17 + 3x = (-7 * 7 + x * 7)
-17 + 3x = (-49 + 7x)

Solving
-17 + 3x = -49 + 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.
-17 + 3x + -7x = -49 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-17 + -4x = -49 + 7x + -7x

Combine like terms: 7x + -7x = 0
-17 + -4x = -49 + 0
-17 + -4x = -49

Add '17' to each side of the equation.
-17 + 17 + -4x = -49 + 17

Combine like terms: -17 + 17 = 0
0 + -4x = -49 + 17
-4x = -49 + 17

Combine like terms: -49 + 17 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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