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

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


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

Reorder the terms:
4(-7 + 2x) + -2 = 4(x + -4) + 10
(-7 * 4 + 2x * 4) + -2 = 4(x + -4) + 10
(-28 + 8x) + -2 = 4(x + -4) + 10

Reorder the terms:
-28 + -2 + 8x = 4(x + -4) + 10

Combine like terms: -28 + -2 = -30
-30 + 8x = 4(x + -4) + 10

Reorder the terms:
-30 + 8x = 4(-4 + x) + 10
-30 + 8x = (-4 * 4 + x * 4) + 10
-30 + 8x = (-16 + 4x) + 10

Reorder the terms:
-30 + 8x = -16 + 10 + 4x

Combine like terms: -16 + 10 = -6
-30 + 8x = -6 + 4x

Solving
-30 + 8x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-30 + 8x + -4x = -6 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-30 + 4x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-30 + 4x = -6 + 0
-30 + 4x = -6

Add '30' to each side of the equation.
-30 + 30 + 4x = -6 + 30

Combine like terms: -30 + 30 = 0
0 + 4x = -6 + 30
4x = -6 + 30

Combine like terms: -6 + 30 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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