4+3(5x-5)=6-4(2x+1)

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Solution for 4+3(5x-5)=6-4(2x+1) equation:


Simplifying
4 + 3(5x + -5) = 6 + -4(2x + 1)

Reorder the terms:
4 + 3(-5 + 5x) = 6 + -4(2x + 1)
4 + (-5 * 3 + 5x * 3) = 6 + -4(2x + 1)
4 + (-15 + 15x) = 6 + -4(2x + 1)

Combine like terms: 4 + -15 = -11
-11 + 15x = 6 + -4(2x + 1)

Reorder the terms:
-11 + 15x = 6 + -4(1 + 2x)
-11 + 15x = 6 + (1 * -4 + 2x * -4)
-11 + 15x = 6 + (-4 + -8x)

Combine like terms: 6 + -4 = 2
-11 + 15x = 2 + -8x

Solving
-11 + 15x = 2 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-11 + 15x + 8x = 2 + -8x + 8x

Combine like terms: 15x + 8x = 23x
-11 + 23x = 2 + -8x + 8x

Combine like terms: -8x + 8x = 0
-11 + 23x = 2 + 0
-11 + 23x = 2

Add '11' to each side of the equation.
-11 + 11 + 23x = 2 + 11

Combine like terms: -11 + 11 = 0
0 + 23x = 2 + 11
23x = 2 + 11

Combine like terms: 2 + 11 = 13
23x = 13

Divide each side by '23'.
x = 0.5652173913

Simplifying
x = 0.5652173913

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