7[2(3+4x)]-2x=-9+2(1-15x)

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Solution for 7[2(3+4x)]-2x=-9+2(1-15x) equation: 


Simplifying
7[2(3 + 4x)] + -2x = -9 + 2(1 + -15x)
7[(3 * 2 + 4x * 2)] + -2x = -9 + 2(1 + -15x)
7[(6 + 8x)] + -2x = -9 + 2(1 + -15x)
[6 * 7 + 8x * 7] + -2x = -9 + 2(1 + -15x)
[42 + 56x] + -2x = -9 + 2(1 + -15x)

Combine like terms: 56x + -2x = 54x
42 + 54x = -9 + 2(1 + -15x)
42 + 54x = -9 + (1 * 2 + -15x * 2)
42 + 54x = -9 + (2 + -30x)

Combine like terms: -9 + 2 = -7
42 + 54x = -7 + -30x

Solving
42 + 54x = -7 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
42 + 54x + 30x = -7 + -30x + 30x

Combine like terms: 54x + 30x = 84x
42 + 84x = -7 + -30x + 30x

Combine like terms: -30x + 30x = 0
42 + 84x = -7 + 0
42 + 84x = -7

Add '-42' to each side of the equation.
42 + -42 + 84x = -7 + -42

Combine like terms: 42 + -42 = 0
0 + 84x = -7 + -42
84x = -7 + -42

Combine like terms: -7 + -42 = -49
84x = -49

Divide each side by '84'.
x = -0.5833333333

Simplifying
x = -0.5833333333

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