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

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


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

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

Reorder the terms:
-12 + 4x = 7(3 + x)
-12 + 4x = (3 * 7 + x * 7)
-12 + 4x = (21 + 7x)

Solving
-12 + 4x = 21 + 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.
-12 + 4x + -7x = 21 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-12 + -3x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-12 + -3x = 21 + 0
-12 + -3x = 21

Add '12' to each side of the equation.
-12 + 12 + -3x = 21 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = 21 + 12
-3x = 21 + 12

Combine like terms: 21 + 12 = 33
-3x = 33

Divide each side by '-3'.
x = -11

Simplifying
x = -11

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