6(1-5x)+10x=-7+3(x+2)

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Solution for 6(1-5x)+10x=-7+3(x+2) equation:


Simplifying
6(1 + -5x) + 10x = -7 + 3(x + 2)
(1 * 6 + -5x * 6) + 10x = -7 + 3(x + 2)
(6 + -30x) + 10x = -7 + 3(x + 2)

Combine like terms: -30x + 10x = -20x
6 + -20x = -7 + 3(x + 2)

Reorder the terms:
6 + -20x = -7 + 3(2 + x)
6 + -20x = -7 + (2 * 3 + x * 3)
6 + -20x = -7 + (6 + 3x)

Combine like terms: -7 + 6 = -1
6 + -20x = -1 + 3x

Solving
6 + -20x = -1 + 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.
6 + -20x + -3x = -1 + 3x + -3x

Combine like terms: -20x + -3x = -23x
6 + -23x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -23x = -1 + 0
6 + -23x = -1

Add '-6' to each side of the equation.
6 + -6 + -23x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -23x = -1 + -6
-23x = -1 + -6

Combine like terms: -1 + -6 = -7
-23x = -7

Divide each side by '-23'.
x = 0.3043478261

Simplifying
x = 0.3043478261

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