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

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


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

Reorder the terms:
7(-3 + x) = (-4)(x + 2)
(-3 * 7 + x * 7) = (-4)(x + 2)
(-21 + 7x) = (-4)(x + 2)

Reorder the terms:
-21 + 7x = -4(2 + x)
-21 + 7x = (2 * -4 + x * -4)
-21 + 7x = (-8 + -4x)

Solving
-21 + 7x = -8 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
-21 + 7x + 4x = -8 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-21 + 11x = -8 + -4x + 4x

Combine like terms: -4x + 4x = 0
-21 + 11x = -8 + 0
-21 + 11x = -8

Add '21' to each side of the equation.
-21 + 21 + 11x = -8 + 21

Combine like terms: -21 + 21 = 0
0 + 11x = -8 + 21
11x = -8 + 21

Combine like terms: -8 + 21 = 13
11x = 13

Divide each side by '11'.
x = 1.181818182

Simplifying
x = 1.181818182

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