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

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


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

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

Reorder the terms:
-12 + 4x = 7(2 + x)
-12 + 4x = (2 * 7 + x * 7)
-12 + 4x = (14 + 7x)

Solving
-12 + 4x = 14 + 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 = 14 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-12 + -3x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-12 + -3x = 14 + 0
-12 + -3x = 14

Add '12' to each side of the equation.
-12 + 12 + -3x = 14 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = 14 + 12
-3x = 14 + 12

Combine like terms: 14 + 12 = 26
-3x = 26

Divide each side by '-3'.
x = -8.666666667

Simplifying
x = -8.666666667

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