7(2x-3)-4(x+5)=8(x-1)+5

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Solution for 7(2x-3)-4(x+5)=8(x-1)+5 equation:


Simplifying
7(2x + -3) + -4(x + 5) = 8(x + -1) + 5

Reorder the terms:
7(-3 + 2x) + -4(x + 5) = 8(x + -1) + 5
(-3 * 7 + 2x * 7) + -4(x + 5) = 8(x + -1) + 5
(-21 + 14x) + -4(x + 5) = 8(x + -1) + 5

Reorder the terms:
-21 + 14x + -4(5 + x) = 8(x + -1) + 5
-21 + 14x + (5 * -4 + x * -4) = 8(x + -1) + 5
-21 + 14x + (-20 + -4x) = 8(x + -1) + 5

Reorder the terms:
-21 + -20 + 14x + -4x = 8(x + -1) + 5

Combine like terms: -21 + -20 = -41
-41 + 14x + -4x = 8(x + -1) + 5

Combine like terms: 14x + -4x = 10x
-41 + 10x = 8(x + -1) + 5

Reorder the terms:
-41 + 10x = 8(-1 + x) + 5
-41 + 10x = (-1 * 8 + x * 8) + 5
-41 + 10x = (-8 + 8x) + 5

Reorder the terms:
-41 + 10x = -8 + 5 + 8x

Combine like terms: -8 + 5 = -3
-41 + 10x = -3 + 8x

Solving
-41 + 10x = -3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-41 + 10x + -8x = -3 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-41 + 2x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
-41 + 2x = -3 + 0
-41 + 2x = -3

Add '41' to each side of the equation.
-41 + 41 + 2x = -3 + 41

Combine like terms: -41 + 41 = 0
0 + 2x = -3 + 41
2x = -3 + 41

Combine like terms: -3 + 41 = 38
2x = 38

Divide each side by '2'.
x = 19

Simplifying
x = 19

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