5x+3(x-2)=4x-(x-4)

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Solution for 5x+3(x-2)=4x-(x-4) equation:


Simplifying
5x + 3(x + -2) = 4x + -1(x + -4)

Reorder the terms:
5x + 3(-2 + x) = 4x + -1(x + -4)
5x + (-2 * 3 + x * 3) = 4x + -1(x + -4)
5x + (-6 + 3x) = 4x + -1(x + -4)

Reorder the terms:
-6 + 5x + 3x = 4x + -1(x + -4)

Combine like terms: 5x + 3x = 8x
-6 + 8x = 4x + -1(x + -4)

Reorder the terms:
-6 + 8x = 4x + -1(-4 + x)
-6 + 8x = 4x + (-4 * -1 + x * -1)
-6 + 8x = 4x + (4 + -1x)

Reorder the terms:
-6 + 8x = 4 + 4x + -1x

Combine like terms: 4x + -1x = 3x
-6 + 8x = 4 + 3x

Solving
-6 + 8x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 8x + -3x = 4 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-6 + 5x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 5x = 4 + 0
-6 + 5x = 4

Add '6' to each side of the equation.
-6 + 6 + 5x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 4 + 6
5x = 4 + 6

Combine like terms: 4 + 6 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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