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

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


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

Reorder the terms:
5(-2 + x) + -1(3 + x) = 3(x + -4)
(-2 * 5 + x * 5) + -1(3 + x) = 3(x + -4)
(-10 + 5x) + -1(3 + x) = 3(x + -4)
-10 + 5x + (3 * -1 + x * -1) = 3(x + -4)
-10 + 5x + (-3 + -1x) = 3(x + -4)

Reorder the terms:
-10 + -3 + 5x + -1x = 3(x + -4)

Combine like terms: -10 + -3 = -13
-13 + 5x + -1x = 3(x + -4)

Combine like terms: 5x + -1x = 4x
-13 + 4x = 3(x + -4)

Reorder the terms:
-13 + 4x = 3(-4 + x)
-13 + 4x = (-4 * 3 + x * 3)
-13 + 4x = (-12 + 3x)

Solving
-13 + 4x = -12 + 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.
-13 + 4x + -3x = -12 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-13 + 1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-13 + 1x = -12 + 0
-13 + 1x = -12

Add '13' to each side of the equation.
-13 + 13 + 1x = -12 + 13

Combine like terms: -13 + 13 = 0
0 + 1x = -12 + 13
1x = -12 + 13

Combine like terms: -12 + 13 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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