7+3(-5x+1)=-(5x+1)+7x

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


Simplifying
7 + 3(-5x + 1) = -1(5x + 1) + 7x

Reorder the terms:
7 + 3(1 + -5x) = -1(5x + 1) + 7x
7 + (1 * 3 + -5x * 3) = -1(5x + 1) + 7x
7 + (3 + -15x) = -1(5x + 1) + 7x

Combine like terms: 7 + 3 = 10
10 + -15x = -1(5x + 1) + 7x

Reorder the terms:
10 + -15x = -1(1 + 5x) + 7x
10 + -15x = (1 * -1 + 5x * -1) + 7x
10 + -15x = (-1 + -5x) + 7x

Combine like terms: -5x + 7x = 2x
10 + -15x = -1 + 2x

Solving
10 + -15x = -1 + 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.
10 + -15x + -2x = -1 + 2x + -2x

Combine like terms: -15x + -2x = -17x
10 + -17x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -17x = -1 + 0
10 + -17x = -1

Add '-10' to each side of the equation.
10 + -10 + -17x = -1 + -10

Combine like terms: 10 + -10 = 0
0 + -17x = -1 + -10
-17x = -1 + -10

Combine like terms: -1 + -10 = -11
-17x = -11

Divide each side by '-17'.
x = 0.6470588235

Simplifying
x = 0.6470588235

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