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

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


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

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

Reorder the terms:
-12 + -3x = 4(-2 + x) + 3
-12 + -3x = (-2 * 4 + x * 4) + 3
-12 + -3x = (-8 + 4x) + 3

Reorder the terms:
-12 + -3x = -8 + 3 + 4x

Combine like terms: -8 + 3 = -5
-12 + -3x = -5 + 4x

Solving
-12 + -3x = -5 + 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.
-12 + -3x + -4x = -5 + 4x + -4x

Combine like terms: -3x + -4x = -7x
-12 + -7x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + -7x = -5 + 0
-12 + -7x = -5

Add '12' to each side of the equation.
-12 + 12 + -7x = -5 + 12

Combine like terms: -12 + 12 = 0
0 + -7x = -5 + 12
-7x = -5 + 12

Combine like terms: -5 + 12 = 7
-7x = 7

Divide each side by '-7'.
x = -1

Simplifying
x = -1

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