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

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


Simplifying
15 + -4(3x + 1) = 2x + -7

Reorder the terms:
15 + -4(1 + 3x) = 2x + -7
15 + (1 * -4 + 3x * -4) = 2x + -7
15 + (-4 + -12x) = 2x + -7

Combine like terms: 15 + -4 = 11
11 + -12x = 2x + -7

Reorder the terms:
11 + -12x = -7 + 2x

Solving
11 + -12x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + -12x + -2x = -7 + 2x + -2x

Combine like terms: -12x + -2x = -14x
11 + -14x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -14x = -7 + 0
11 + -14x = -7

Add '-11' to each side of the equation.
11 + -11 + -14x = -7 + -11

Combine like terms: 11 + -11 = 0
0 + -14x = -7 + -11
-14x = -7 + -11

Combine like terms: -7 + -11 = -18
-14x = -18

Divide each side by '-14'.
x = 1.285714286

Simplifying
x = 1.285714286

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