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

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


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

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

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

Combine like terms: 28 + 2 = 30
30 + 4x = 7X + -3(x + -3)

Reorder the terms:
30 + 4x = 7X + -3(-3 + x)
30 + 4x = 7X + (-3 * -3 + x * -3)
30 + 4x = 7X + (9 + -3x)

Reorder the terms:
30 + 4x = 9 + 7X + -3x

Solving
30 + 4x = 9 + 7X + -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.
30 + 4x + 3x = 9 + 7X + -3x + 3x

Combine like terms: 4x + 3x = 7x
30 + 7x = 9 + 7X + -3x + 3x

Combine like terms: -3x + 3x = 0
30 + 7x = 9 + 7X + 0
30 + 7x = 9 + 7X

Add '-30' to each side of the equation.
30 + -30 + 7x = 9 + -30 + 7X

Combine like terms: 30 + -30 = 0
0 + 7x = 9 + -30 + 7X
7x = 9 + -30 + 7X

Combine like terms: 9 + -30 = -21
7x = -21 + 7X

Divide each side by '7'.
x = -3 + X

Simplifying
x = -3 + X

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