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

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


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

Reorder the terms:
2(-5 + x) + 3(x + -2) = 8 + 7(x + -4)
(-5 * 2 + x * 2) + 3(x + -2) = 8 + 7(x + -4)
(-10 + 2x) + 3(x + -2) = 8 + 7(x + -4)

Reorder the terms:
-10 + 2x + 3(-2 + x) = 8 + 7(x + -4)
-10 + 2x + (-2 * 3 + x * 3) = 8 + 7(x + -4)
-10 + 2x + (-6 + 3x) = 8 + 7(x + -4)

Reorder the terms:
-10 + -6 + 2x + 3x = 8 + 7(x + -4)

Combine like terms: -10 + -6 = -16
-16 + 2x + 3x = 8 + 7(x + -4)

Combine like terms: 2x + 3x = 5x
-16 + 5x = 8 + 7(x + -4)

Reorder the terms:
-16 + 5x = 8 + 7(-4 + x)
-16 + 5x = 8 + (-4 * 7 + x * 7)
-16 + 5x = 8 + (-28 + 7x)

Combine like terms: 8 + -28 = -20
-16 + 5x = -20 + 7x

Solving
-16 + 5x = -20 + 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.
-16 + 5x + -7x = -20 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-16 + -2x = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0
-16 + -2x = -20 + 0
-16 + -2x = -20

Add '16' to each side of the equation.
-16 + 16 + -2x = -20 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = -20 + 16
-2x = -20 + 16

Combine like terms: -20 + 16 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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