15-(3x+4)=3+2(1-5x)

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Solution for 15-(3x+4)=3+2(1-5x) equation:


Simplifying
15 + -1(3x + 4) = 3 + 2(1 + -5x)

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

Combine like terms: 15 + -4 = 11
11 + -3x = 3 + 2(1 + -5x)
11 + -3x = 3 + (1 * 2 + -5x * 2)
11 + -3x = 3 + (2 + -10x)

Combine like terms: 3 + 2 = 5
11 + -3x = 5 + -10x

Solving
11 + -3x = 5 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
11 + -3x + 10x = 5 + -10x + 10x

Combine like terms: -3x + 10x = 7x
11 + 7x = 5 + -10x + 10x

Combine like terms: -10x + 10x = 0
11 + 7x = 5 + 0
11 + 7x = 5

Add '-11' to each side of the equation.
11 + -11 + 7x = 5 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = 5 + -11
7x = 5 + -11

Combine like terms: 5 + -11 = -6
7x = -6

Divide each side by '7'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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