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

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


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

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

Reorder the terms:
-28 + 4x = -3(2 + x)
-28 + 4x = (2 * -3 + x * -3)
-28 + 4x = (-6 + -3x)

Solving
-28 + 4x = -6 + -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 + 4x + 3x = -6 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-28 + 7x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-28 + 7x = -6 + 0
-28 + 7x = -6

Add '28' to each side of the equation.
-28 + 28 + 7x = -6 + 28

Combine like terms: -28 + 28 = 0
0 + 7x = -6 + 28
7x = -6 + 28

Combine like terms: -6 + 28 = 22
7x = 22

Divide each side by '7'.
x = 3.142857143

Simplifying
x = 3.142857143

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