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

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


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

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

Reorder the terms:
-7 + 14x = 8(1 + 3x)
-7 + 14x = (1 * 8 + 3x * 8)
-7 + 14x = (8 + 24x)

Solving
-7 + 14x = 8 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-7 + 14x + -24x = 8 + 24x + -24x

Combine like terms: 14x + -24x = -10x
-7 + -10x = 8 + 24x + -24x

Combine like terms: 24x + -24x = 0
-7 + -10x = 8 + 0
-7 + -10x = 8

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

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

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

Divide each side by '-10'.
x = -1.5

Simplifying
x = -1.5

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