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

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


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

Reorder the terms:
-7(-3 + 4x) + -5(4 + -3x) = -1x + -7
(-3 * -7 + 4x * -7) + -5(4 + -3x) = -1x + -7
(21 + -28x) + -5(4 + -3x) = -1x + -7
21 + -28x + (4 * -5 + -3x * -5) = -1x + -7
21 + -28x + (-20 + 15x) = -1x + -7

Reorder the terms:
21 + -20 + -28x + 15x = -1x + -7

Combine like terms: 21 + -20 = 1
1 + -28x + 15x = -1x + -7

Combine like terms: -28x + 15x = -13x
1 + -13x = -1x + -7

Reorder the terms:
1 + -13x = -7 + -1x

Solving
1 + -13x = -7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + -13x + x = -7 + -1x + x

Combine like terms: -13x + x = -12x
1 + -12x = -7 + -1x + x

Combine like terms: -1x + x = 0
1 + -12x = -7 + 0
1 + -12x = -7

Add '-1' to each side of the equation.
1 + -1 + -12x = -7 + -1

Combine like terms: 1 + -1 = 0
0 + -12x = -7 + -1
-12x = -7 + -1

Combine like terms: -7 + -1 = -8
-12x = -8

Divide each side by '-12'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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