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

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Solution for 10(x+3)-4(x-2)=7(x+5) equation:


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

Reorder the terms:
10(3 + x) + -4(x + -2) = 7(x + 5)
(3 * 10 + x * 10) + -4(x + -2) = 7(x + 5)
(30 + 10x) + -4(x + -2) = 7(x + 5)

Reorder the terms:
30 + 10x + -4(-2 + x) = 7(x + 5)
30 + 10x + (-2 * -4 + x * -4) = 7(x + 5)
30 + 10x + (8 + -4x) = 7(x + 5)

Reorder the terms:
30 + 8 + 10x + -4x = 7(x + 5)

Combine like terms: 30 + 8 = 38
38 + 10x + -4x = 7(x + 5)

Combine like terms: 10x + -4x = 6x
38 + 6x = 7(x + 5)

Reorder the terms:
38 + 6x = 7(5 + x)
38 + 6x = (5 * 7 + x * 7)
38 + 6x = (35 + 7x)

Solving
38 + 6x = 35 + 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.
38 + 6x + -7x = 35 + 7x + -7x

Combine like terms: 6x + -7x = -1x
38 + -1x = 35 + 7x + -7x

Combine like terms: 7x + -7x = 0
38 + -1x = 35 + 0
38 + -1x = 35

Add '-38' to each side of the equation.
38 + -38 + -1x = 35 + -38

Combine like terms: 38 + -38 = 0
0 + -1x = 35 + -38
-1x = 35 + -38

Combine like terms: 35 + -38 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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