4(3x+x)+7-5x=8+(-5)(5x)-(6x)+23

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Solution for 4(3x+x)+7-5x=8+(-5)(5x)-(6x)+23 equation:


Simplifying
4(3x + x) + 7 + -5x = 8 + (-5)(5x) + -1(6x) + 23

Combine like terms: 3x + x = 4x
4(4x) + 7 + -5x = 8 + (-5)(5x) + -1(6x) + 23

Remove parenthesis around (4x)
4 * 4x + 7 + -5x = 8 + (-5)(5x) + -1(6x) + 23

Multiply 4 * 4
16x + 7 + -5x = 8 + (-5)(5x) + -1(6x) + 23

Reorder the terms:
7 + 16x + -5x = 8 + (-5)(5x) + -1(6x) + 23

Combine like terms: 16x + -5x = 11x
7 + 11x = 8 + (-5)(5x) + -1(6x) + 23

Remove parenthesis around (5x)
7 + 11x = 8 + -5 * 5x + -1(6x) + 23

Multiply -5 * 5
7 + 11x = 8 + -25x + -1(6x) + 23

Remove parenthesis around (6x)
7 + 11x = 8 + -25x + -1 * 6x + 23

Multiply -1 * 6
7 + 11x = 8 + -25x + -6x + 23

Reorder the terms:
7 + 11x = 8 + 23 + -25x + -6x

Combine like terms: 8 + 23 = 31
7 + 11x = 31 + -25x + -6x

Combine like terms: -25x + -6x = -31x
7 + 11x = 31 + -31x

Solving
7 + 11x = 31 + -31x

Solving for variable 'x'.

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

Add '31x' to each side of the equation.
7 + 11x + 31x = 31 + -31x + 31x

Combine like terms: 11x + 31x = 42x
7 + 42x = 31 + -31x + 31x

Combine like terms: -31x + 31x = 0
7 + 42x = 31 + 0
7 + 42x = 31

Add '-7' to each side of the equation.
7 + -7 + 42x = 31 + -7

Combine like terms: 7 + -7 = 0
0 + 42x = 31 + -7
42x = 31 + -7

Combine like terms: 31 + -7 = 24
42x = 24

Divide each side by '42'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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