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

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


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

Reorder the terms:
3(-5 + 2x) = 3 + -4(x + 3)
(-5 * 3 + 2x * 3) = 3 + -4(x + 3)
(-15 + 6x) = 3 + -4(x + 3)

Reorder the terms:
-15 + 6x = 3 + -4(3 + x)
-15 + 6x = 3 + (3 * -4 + x * -4)
-15 + 6x = 3 + (-12 + -4x)

Combine like terms: 3 + -12 = -9
-15 + 6x = -9 + -4x

Solving
-15 + 6x = -9 + -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.
-15 + 6x + 4x = -9 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-15 + 10x = -9 + -4x + 4x

Combine like terms: -4x + 4x = 0
-15 + 10x = -9 + 0
-15 + 10x = -9

Add '15' to each side of the equation.
-15 + 15 + 10x = -9 + 15

Combine like terms: -15 + 15 = 0
0 + 10x = -9 + 15
10x = -9 + 15

Combine like terms: -9 + 15 = 6
10x = 6

Divide each side by '10'.
x = 0.6

Simplifying
x = 0.6

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