3(1-5x)-4x=-7(1-3x)

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Solution for 3(1-5x)-4x=-7(1-3x) equation:


Simplifying
3(1 + -5x) + -4x = -7(1 + -3x)
(1 * 3 + -5x * 3) + -4x = -7(1 + -3x)
(3 + -15x) + -4x = -7(1 + -3x)

Combine like terms: -15x + -4x = -19x
3 + -19x = -7(1 + -3x)
3 + -19x = (1 * -7 + -3x * -7)
3 + -19x = (-7 + 21x)

Solving
3 + -19x = -7 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
3 + -19x + -21x = -7 + 21x + -21x

Combine like terms: -19x + -21x = -40x
3 + -40x = -7 + 21x + -21x

Combine like terms: 21x + -21x = 0
3 + -40x = -7 + 0
3 + -40x = -7

Add '-3' to each side of the equation.
3 + -3 + -40x = -7 + -3

Combine like terms: 3 + -3 = 0
0 + -40x = -7 + -3
-40x = -7 + -3

Combine like terms: -7 + -3 = -10
-40x = -10

Divide each side by '-40'.
x = 0.25

Simplifying
x = 0.25

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