7(2x+3)+10=8(3x-4)

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Solution for 7(2x+3)+10=8(3x-4) equation: 


Simplifying
7(2x + 3) + 10 = 8(3x + -4)

Reorder the terms:
7(3 + 2x) + 10 = 8(3x + -4)
(3 * 7 + 2x * 7) + 10 = 8(3x + -4)
(21 + 14x) + 10 = 8(3x + -4)

Reorder the terms:
21 + 10 + 14x = 8(3x + -4)

Combine like terms: 21 + 10 = 31
31 + 14x = 8(3x + -4)

Reorder the terms:
31 + 14x = 8(-4 + 3x)
31 + 14x = (-4 * 8 + 3x * 8)
31 + 14x = (-32 + 24x)

Solving
31 + 14x = -32 + 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.
31 + 14x + -24x = -32 + 24x + -24x

Combine like terms: 14x + -24x = -10x
31 + -10x = -32 + 24x + -24x

Combine like terms: 24x + -24x = 0
31 + -10x = -32 + 0
31 + -10x = -32

Add '-31' to each side of the equation.
31 + -31 + -10x = -32 + -31

Combine like terms: 31 + -31 = 0
0 + -10x = -32 + -31
-10x = -32 + -31

Combine like terms: -32 + -31 = -63
-10x = -63

Divide each side by '-10'.
x = 6.3

Simplifying
x = 6.3

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