4(x+7)-18=3(x+10)+6

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Solution for 4(x+7)-18=3(x+10)+6 equation: 


Simplifying
4(x + 7) + -18 = 3(x + 10) + 6

Reorder the terms:
4(7 + x) + -18 = 3(x + 10) + 6
(7 * 4 + x * 4) + -18 = 3(x + 10) + 6
(28 + 4x) + -18 = 3(x + 10) + 6

Reorder the terms:
28 + -18 + 4x = 3(x + 10) + 6

Combine like terms: 28 + -18 = 10
10 + 4x = 3(x + 10) + 6

Reorder the terms:
10 + 4x = 3(10 + x) + 6
10 + 4x = (10 * 3 + x * 3) + 6
10 + 4x = (30 + 3x) + 6

Reorder the terms:
10 + 4x = 30 + 6 + 3x

Combine like terms: 30 + 6 = 36
10 + 4x = 36 + 3x

Solving
10 + 4x = 36 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 4x + -3x = 36 + 3x + -3x

Combine like terms: 4x + -3x = 1x
10 + 1x = 36 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 1x = 36 + 0
10 + 1x = 36

Add '-10' to each side of the equation.
10 + -10 + 1x = 36 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 36 + -10
1x = 36 + -10

Combine like terms: 36 + -10 = 26
1x = 26

Divide each side by '1'.
x = 26

Simplifying
x = 26

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