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

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


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

Reorder the terms:
4 + -2(5 + 3x) = 3 + 4(x + -2)
4 + (5 * -2 + 3x * -2) = 3 + 4(x + -2)
4 + (-10 + -6x) = 3 + 4(x + -2)

Combine like terms: 4 + -10 = -6
-6 + -6x = 3 + 4(x + -2)

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

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

Solving
-6 + -6x = -5 + 4x

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 0
-6 + -10x = -5 + 0
-6 + -10x = -5

Add '6' to each side of the equation.
-6 + 6 + -10x = -5 + 6

Combine like terms: -6 + 6 = 0
0 + -10x = -5 + 6
-10x = -5 + 6

Combine like terms: -5 + 6 = 1
-10x = 1

Divide each side by '-10'.
x = -0.1

Simplifying
x = -0.1

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