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

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


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

Reorder the terms:
5(-3 + x) + 3 = 3x + -1(4 + 2x)
(-3 * 5 + x * 5) + 3 = 3x + -1(4 + 2x)
(-15 + 5x) + 3 = 3x + -1(4 + 2x)

Reorder the terms:
-15 + 3 + 5x = 3x + -1(4 + 2x)

Combine like terms: -15 + 3 = -12
-12 + 5x = 3x + -1(4 + 2x)
-12 + 5x = 3x + (4 * -1 + 2x * -1)
-12 + 5x = 3x + (-4 + -2x)

Reorder the terms:
-12 + 5x = -4 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-12 + 5x = -4 + 1x

Solving
-12 + 5x = -4 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-12 + 5x + -1x = -4 + 1x + -1x

Combine like terms: 5x + -1x = 4x
-12 + 4x = -4 + 1x + -1x

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

Add '12' to each side of the equation.
-12 + 12 + 4x = -4 + 12

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

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

Divide each side by '4'.
x = 2

Simplifying
x = 2

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