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

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Solution for 6(x-5)+7=2(x+4)-10 equation:


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

Reorder the terms:
6(-5 + x) + 7 = 2(x + 4) + -10
(-5 * 6 + x * 6) + 7 = 2(x + 4) + -10
(-30 + 6x) + 7 = 2(x + 4) + -10

Reorder the terms:
-30 + 7 + 6x = 2(x + 4) + -10

Combine like terms: -30 + 7 = -23
-23 + 6x = 2(x + 4) + -10

Reorder the terms:
-23 + 6x = 2(4 + x) + -10
-23 + 6x = (4 * 2 + x * 2) + -10
-23 + 6x = (8 + 2x) + -10

Reorder the terms:
-23 + 6x = 8 + -10 + 2x

Combine like terms: 8 + -10 = -2
-23 + 6x = -2 + 2x

Solving
-23 + 6x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-23 + 6x + -2x = -2 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-23 + 4x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-23 + 4x = -2 + 0
-23 + 4x = -2

Add '23' to each side of the equation.
-23 + 23 + 4x = -2 + 23

Combine like terms: -23 + 23 = 0
0 + 4x = -2 + 23
4x = -2 + 23

Combine like terms: -2 + 23 = 21
4x = 21

Divide each side by '4'.
x = 5.25

Simplifying
x = 5.25

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