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

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Solution for 2(2x-3)-1(x+4)=4 equation:


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

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

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

Reorder the terms:
-6 + -4 + 4x + -1x = 4

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

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

Solving
-10 + 3x = 4

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 3x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 4 + 10
3x = 4 + 10

Combine like terms: 4 + 10 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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