7-4(5+x)=3x-7(2x-1)

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Solution for 7-4(5+x)=3x-7(2x-1) equation:


Simplifying
7 + -4(5 + x) = 3x + -7(2x + -1)
7 + (5 * -4 + x * -4) = 3x + -7(2x + -1)
7 + (-20 + -4x) = 3x + -7(2x + -1)

Combine like terms: 7 + -20 = -13
-13 + -4x = 3x + -7(2x + -1)

Reorder the terms:
-13 + -4x = 3x + -7(-1 + 2x)
-13 + -4x = 3x + (-1 * -7 + 2x * -7)
-13 + -4x = 3x + (7 + -14x)

Reorder the terms:
-13 + -4x = 7 + 3x + -14x

Combine like terms: 3x + -14x = -11x
-13 + -4x = 7 + -11x

Solving
-13 + -4x = 7 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
-13 + -4x + 11x = 7 + -11x + 11x

Combine like terms: -4x + 11x = 7x
-13 + 7x = 7 + -11x + 11x

Combine like terms: -11x + 11x = 0
-13 + 7x = 7 + 0
-13 + 7x = 7

Add '13' to each side of the equation.
-13 + 13 + 7x = 7 + 13

Combine like terms: -13 + 13 = 0
0 + 7x = 7 + 13
7x = 7 + 13

Combine like terms: 7 + 13 = 20
7x = 20

Divide each side by '7'.
x = 2.857142857

Simplifying
x = 2.857142857

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