5x+3(x-2)=4-2(3x+7)

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Solution for 5x+3(x-2)=4-2(3x+7) equation:


Simplifying
5x + 3(x + -2) = 4 + -2(3x + 7)

Reorder the terms:
5x + 3(-2 + x) = 4 + -2(3x + 7)
5x + (-2 * 3 + x * 3) = 4 + -2(3x + 7)
5x + (-6 + 3x) = 4 + -2(3x + 7)

Reorder the terms:
-6 + 5x + 3x = 4 + -2(3x + 7)

Combine like terms: 5x + 3x = 8x
-6 + 8x = 4 + -2(3x + 7)

Reorder the terms:
-6 + 8x = 4 + -2(7 + 3x)
-6 + 8x = 4 + (7 * -2 + 3x * -2)
-6 + 8x = 4 + (-14 + -6x)

Combine like terms: 4 + -14 = -10
-6 + 8x = -10 + -6x

Solving
-6 + 8x = -10 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-6 + 8x + 6x = -10 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-6 + 14x = -10 + -6x + 6x

Combine like terms: -6x + 6x = 0
-6 + 14x = -10 + 0
-6 + 14x = -10

Add '6' to each side of the equation.
-6 + 6 + 14x = -10 + 6

Combine like terms: -6 + 6 = 0
0 + 14x = -10 + 6
14x = -10 + 6

Combine like terms: -10 + 6 = -4
14x = -4

Divide each side by '14'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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