7(x+4)+8(x-6)=5(2x+3)

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Solution for 7(x+4)+8(x-6)=5(2x+3) equation:


Simplifying
7(x + 4) + 8(x + -6) = 5(2x + 3)

Reorder the terms:
7(4 + x) + 8(x + -6) = 5(2x + 3)
(4 * 7 + x * 7) + 8(x + -6) = 5(2x + 3)
(28 + 7x) + 8(x + -6) = 5(2x + 3)

Reorder the terms:
28 + 7x + 8(-6 + x) = 5(2x + 3)
28 + 7x + (-6 * 8 + x * 8) = 5(2x + 3)
28 + 7x + (-48 + 8x) = 5(2x + 3)

Reorder the terms:
28 + -48 + 7x + 8x = 5(2x + 3)

Combine like terms: 28 + -48 = -20
-20 + 7x + 8x = 5(2x + 3)

Combine like terms: 7x + 8x = 15x
-20 + 15x = 5(2x + 3)

Reorder the terms:
-20 + 15x = 5(3 + 2x)
-20 + 15x = (3 * 5 + 2x * 5)
-20 + 15x = (15 + 10x)

Solving
-20 + 15x = 15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-20 + 15x + -10x = 15 + 10x + -10x

Combine like terms: 15x + -10x = 5x
-20 + 5x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
-20 + 5x = 15 + 0
-20 + 5x = 15

Add '20' to each side of the equation.
-20 + 20 + 5x = 15 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 15 + 20
5x = 15 + 20

Combine like terms: 15 + 20 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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