4(3x-7)+2x=7(x+7)

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Solution for 4(3x-7)+2x=7(x+7) equation:


Simplifying
4(3x + -7) + 2x = 7(x + 7)

Reorder the terms:
4(-7 + 3x) + 2x = 7(x + 7)
(-7 * 4 + 3x * 4) + 2x = 7(x + 7)
(-28 + 12x) + 2x = 7(x + 7)

Combine like terms: 12x + 2x = 14x
-28 + 14x = 7(x + 7)

Reorder the terms:
-28 + 14x = 7(7 + x)
-28 + 14x = (7 * 7 + x * 7)
-28 + 14x = (49 + 7x)

Solving
-28 + 14x = 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.
-28 + 14x + -7x = 49 + 7x + -7x

Combine like terms: 14x + -7x = 7x
-28 + 7x = 49 + 7x + -7x

Combine like terms: 7x + -7x = 0
-28 + 7x = 49 + 0
-28 + 7x = 49

Add '28' to each side of the equation.
-28 + 28 + 7x = 49 + 28

Combine like terms: -28 + 28 = 0
0 + 7x = 49 + 28
7x = 49 + 28

Combine like terms: 49 + 28 = 77
7x = 77

Divide each side by '7'.
x = 11

Simplifying
x = 11

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