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

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Solution for 5(x-7)+4(x+3)=-(6x+1)+7 equation:


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

Reorder the terms:
5(-7 + x) + 4(x + 3) = -1(6x + 1) + 7
(-7 * 5 + x * 5) + 4(x + 3) = -1(6x + 1) + 7
(-35 + 5x) + 4(x + 3) = -1(6x + 1) + 7

Reorder the terms:
-35 + 5x + 4(3 + x) = -1(6x + 1) + 7
-35 + 5x + (3 * 4 + x * 4) = -1(6x + 1) + 7
-35 + 5x + (12 + 4x) = -1(6x + 1) + 7

Reorder the terms:
-35 + 12 + 5x + 4x = -1(6x + 1) + 7

Combine like terms: -35 + 12 = -23
-23 + 5x + 4x = -1(6x + 1) + 7

Combine like terms: 5x + 4x = 9x
-23 + 9x = -1(6x + 1) + 7

Reorder the terms:
-23 + 9x = -1(1 + 6x) + 7
-23 + 9x = (1 * -1 + 6x * -1) + 7
-23 + 9x = (-1 + -6x) + 7

Reorder the terms:
-23 + 9x = -1 + 7 + -6x

Combine like terms: -1 + 7 = 6
-23 + 9x = 6 + -6x

Solving
-23 + 9x = 6 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-23 + 9x + 6x = 6 + -6x + 6x

Combine like terms: 9x + 6x = 15x
-23 + 15x = 6 + -6x + 6x

Combine like terms: -6x + 6x = 0
-23 + 15x = 6 + 0
-23 + 15x = 6

Add '23' to each side of the equation.
-23 + 23 + 15x = 6 + 23

Combine like terms: -23 + 23 = 0
0 + 15x = 6 + 23
15x = 6 + 23

Combine like terms: 6 + 23 = 29
15x = 29

Divide each side by '15'.
x = 1.933333333

Simplifying
x = 1.933333333

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