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

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


Simplifying
2(2x + -3) + -1(x + 4) = 4(x + 3)

Reorder the terms:
2(-3 + 2x) + -1(x + 4) = 4(x + 3)
(-3 * 2 + 2x * 2) + -1(x + 4) = 4(x + 3)
(-6 + 4x) + -1(x + 4) = 4(x + 3)

Reorder the terms:
-6 + 4x + -1(4 + x) = 4(x + 3)
-6 + 4x + (4 * -1 + x * -1) = 4(x + 3)
-6 + 4x + (-4 + -1x) = 4(x + 3)

Reorder the terms:
-6 + -4 + 4x + -1x = 4(x + 3)

Combine like terms: -6 + -4 = -10
-10 + 4x + -1x = 4(x + 3)

Combine like terms: 4x + -1x = 3x
-10 + 3x = 4(x + 3)

Reorder the terms:
-10 + 3x = 4(3 + x)
-10 + 3x = (3 * 4 + x * 4)
-10 + 3x = (12 + 4x)

Solving
-10 + 3x = 12 + 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.
-10 + 3x + -4x = 12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-10 + -1x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + -1x = 12 + 0
-10 + -1x = 12

Add '10' to each side of the equation.
-10 + 10 + -1x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 12 + 10
-1x = 12 + 10

Combine like terms: 12 + 10 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

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