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

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


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

Reorder the terms:
7 + -4(3 + 5x) = 8 + -1(6x + -5)
7 + (3 * -4 + 5x * -4) = 8 + -1(6x + -5)
7 + (-12 + -20x) = 8 + -1(6x + -5)

Combine like terms: 7 + -12 = -5
-5 + -20x = 8 + -1(6x + -5)

Reorder the terms:
-5 + -20x = 8 + -1(-5 + 6x)
-5 + -20x = 8 + (-5 * -1 + 6x * -1)
-5 + -20x = 8 + (5 + -6x)

Combine like terms: 8 + 5 = 13
-5 + -20x = 13 + -6x

Solving
-5 + -20x = 13 + -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.
-5 + -20x + 6x = 13 + -6x + 6x

Combine like terms: -20x + 6x = -14x
-5 + -14x = 13 + -6x + 6x

Combine like terms: -6x + 6x = 0
-5 + -14x = 13 + 0
-5 + -14x = 13

Add '5' to each side of the equation.
-5 + 5 + -14x = 13 + 5

Combine like terms: -5 + 5 = 0
0 + -14x = 13 + 5
-14x = 13 + 5

Combine like terms: 13 + 5 = 18
-14x = 18

Divide each side by '-14'.
x = -1.285714286

Simplifying
x = -1.285714286

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