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

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


Simplifying
7x + 1 = 5x + -3(2 + -5x) + 3

Reorder the terms:
1 + 7x = 5x + -3(2 + -5x) + 3
1 + 7x = 5x + (2 * -3 + -5x * -3) + 3
1 + 7x = 5x + (-6 + 15x) + 3

Reorder the terms:
1 + 7x = -6 + 3 + 5x + 15x

Combine like terms: -6 + 3 = -3
1 + 7x = -3 + 5x + 15x

Combine like terms: 5x + 15x = 20x
1 + 7x = -3 + 20x

Solving
1 + 7x = -3 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
1 + 7x + -20x = -3 + 20x + -20x

Combine like terms: 7x + -20x = -13x
1 + -13x = -3 + 20x + -20x

Combine like terms: 20x + -20x = 0
1 + -13x = -3 + 0
1 + -13x = -3

Add '-1' to each side of the equation.
1 + -1 + -13x = -3 + -1

Combine like terms: 1 + -1 = 0
0 + -13x = -3 + -1
-13x = -3 + -1

Combine like terms: -3 + -1 = -4
-13x = -4

Divide each side by '-13'.
x = 0.3076923077

Simplifying
x = 0.3076923077

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