-4x+5(3x-2)=8-7x

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Solution for -4x+5(3x-2)=8-7x equation:


Simplifying
-4x + 5(3x + -2) = 8 + -7x

Reorder the terms:
-4x + 5(-2 + 3x) = 8 + -7x
-4x + (-2 * 5 + 3x * 5) = 8 + -7x
-4x + (-10 + 15x) = 8 + -7x

Reorder the terms:
-10 + -4x + 15x = 8 + -7x

Combine like terms: -4x + 15x = 11x
-10 + 11x = 8 + -7x

Solving
-10 + 11x = 8 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-10 + 11x + 7x = 8 + -7x + 7x

Combine like terms: 11x + 7x = 18x
-10 + 18x = 8 + -7x + 7x

Combine like terms: -7x + 7x = 0
-10 + 18x = 8 + 0
-10 + 18x = 8

Add '10' to each side of the equation.
-10 + 10 + 18x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 18x = 8 + 10
18x = 8 + 10

Combine like terms: 8 + 10 = 18
18x = 18

Divide each side by '18'.
x = 1

Simplifying
x = 1

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